# How to Find the Product and Sum of Two (Or More) Numbers

*Mark, a math enthusiast, loves writing tutorials for stumped students and those who need to brush up on their math skills.*

If you are asked to work out the product of two or more numbers, then you need to multiply the numbers together. If you are asked to find the sum of two or more numbers, then you need to add the numbers together.

Below, we will work through several examples together.

**What are** the product and sum of 6 and 8?

- The
**product**of 6 and 8 is**6 × 8 = 48** - The
**sum**of 6 and 8 is**6 + 8 = 14**

**What are** the product and sum of 9 and 3?

Work out the product and sum of 9 and 3.

- The product of 9 and 3 is
**9 × 3 = 27** - The sum of 9 and 3 is
**9 + 3 = 12**

**What are** the product and sum of -7 and 9?

- The product of -7 and 9 is
**-7 × 9 = -63** - The sum of -7 and 9 is
**-7 + 9 = 2**

### Write down two numbers that have a product of 42.

All you need to do is look for two numbers that multiply to give 42. There are several possible answers:

- 1 and 42
- 2 and 21
- 3 and 14
- 6 and 7
- -1 and -42
- -2 and -21
- -3 and -14
- -6 and -7

**What are** the product and sum of 2, 4 and 9?

Work out the product of 2, 4 and 9.

The product means that you need to multiply the three numbers together.

2 × 4 × 9 = 72

The sum means that you need to add the three numbers together.

2 + 4 + 9 = 15

## Questions & Answers

**Question:** What do you get if you double 15?

**Answer:** Just multiply the number by 2 to give 30.

**Question:** Can you find two numbers which have a product of 12 and a sum of 7?

**Answer:** 4 and 3 are a the answers.

4 multiplied by 3 is 12. 4 add 3 is 7.

**Question:** what is the sum and product of -5 and -12?

**Answer:** Sum means you need to add the numbers (-5 + -12 = -5 - 12 = -17).

Product means you need to multiply the numbers (-5 multiplied by -12 = 60).

**Question:** What is the sum of 8, 2 and 7?

**Answer:** 8 times 2 is 16, and 16 times 7 is 112.

**Question:** What is the product of 3 and 154?

**Answer:** To find the product multiply the two numbers together to give 462.

**Question:** What number is 36 less than twice the product of 88 and 11?

**Answer:** First work out the product of 88 and 11 by multiplying 88 by 11 to give 968.

Now work out 968 minus 36 which is 932.

**Question:** Find 45 less than the product of 7 and 9?

**Answer:** The product of 7 and 9 is 7 times 9 which is 63.

Now work out 63 take away 45 to give 18.

**Question:** The sum of two numbers is 9 and their difference is 3. What is their product?

**Answer:** First find out what the two numbers are.

These are 6 and 3, since 6 add 3 is 9, and 6 minus 3 is 3.

Now multiply 6 by 3 to give 18.

**Question:** What are the two numbers which have a sum and product of 1 and 9?

**Answer:** The sum can be found by adding 1 and 9 to give 10.

The product of 1 and 9 can be found by multiplying 1 and 9 to give 9.

**Question:** What is the product of 11 and the difference between 6 and negative 9?

**Answer:** The difference between 6 and - 9 is 15.

Now multiply 15 and 11 to give 165.

**Question:** What is the product of 24 and 168?

**Answer:** 24 multiplied by 168 is 4032.

**Question:** What is the sum if 9/15 is added to the sum of 4 3/12 and 8 5/10?

**Answer:** You will just need to add all of the fractions together.

First turn the mixed fractions into improper fractions (9/15 + 51/12 + 85/10).

Now make a common denominator of 60 (36/60 + 255/60 + 510/60)

This gives 801/60 which simplifies to 267/20.

**Question:** What is the product of 36 and 7?

**Answer:** 36 multiplied by 7 is 252.

**Question:** What number is the product of 100 and 90?

**Answer:** 100 times 90 is 9000.

**Question:** What number do you multiply 4 by and add 5 to give a square number?

**Answer:** The number you are looking for is 5. Since the product of 4 and 5 is 20, and 20 add 5 is 25 which is a square number.

**Question:** 45÷5×3+17-9=n? what is n?

**Answer:** 45 divided by 5 is 9.

9 times 3 is 27.

27 add 17 is 44.

44 minus 9 is 35, so n = 35.

**Question:** What number has a product of 9 and a sum of 10?

**Answer:** The two numbers are 1 and 9, because 1 times 9 is 9, and 1 added to 9 is 10.

**Question:** Can you find the product and sum of -9 and -7?

**Answer:** Multiply the numbers for the product, -9 times -7 is 63.

Add the numbers for the sum, -9 + - 7 is -16.

**Question:** How do you multiply the sum of 12 and 8 by their difference?

**Answer:** The sum of 12 and 8 is 12 add 8 which is 20.

The difference between 12 and 8 is 12 minus 8 which is 4.

Now 20 times 4 is 80.

**Question:** When 6 is subtracted from the product of 4 and a certain number the answer is 14, what is the number?

**Answer:** First add 6 onto 14 to give 20.

Now 4 and a number must multiply to give 20, as product means multiply.

This number will be 5.

**Question:** What are the two numbers of the sum of thirty and has a diffrence of six?

**Answer:** The two numbers are 18 and 12, since 18 + 12 is 30, and 18 - 12 is 6.

**Question:** The product of two numbers is 72 and the sum is 18, what are that two numbers?

**Answer:** The two numbers are 6 and 12, because 6 times 12 is 72, and 6 added to 12 is 18.

**Question:** Can you find the product of 8 and 4?

**Answer:** The product can be found by multiplying the two numbers together.

8 mutliplied by 4 gives 32.

## Recommended for You

**Question:** If the product of two numbers is 60 and one of the numbers is 5/9, what number is the other?

**Answer:** Divide 160 by 5/9 to give 108.

**Question:** What is the sum of 2 and 7?

**Answer:** The two numbers needed to be added together if you are working out the sum.

So 2 + 7 = 9.

**Question:** What is the product of 287 and 1,603?

**Answer:** To find the product multiply the two numbers together.

1603 multiplied by 287 is 460,061.

**Question:** The sum of a number and one added to it multiplied by two is ten . Then what is the number ?

**Answer:** The answer is 4, since 1 + 4 is 5, and 5 times 2 is 10.

**Question:** Can you find the product and sum of 20 and 6?

**Answer:** The product of 20 and 6 is 20 times 6 which is 120.

The sum of 20 and 6 is 20 plus 6 which is 26.

**Question:** Can you find two numbers which have a product of 8 and a sum of 7?

**Answer:** Yes, you can but the answers are not integers (whole numbers).

You will need to solve the simultaneous equations xy = 8 and x + y = 7.

**Question:** How can I work out the product of 18 and 4?

**Answer:** All you need to do is 18 multiplied by 4 which is 72.

**Question:** The product of 5 whole numbers is 3. What is the sum of these numbers?

**Answer:** Product means multiply, so the 5 whole numbers that multiply together to give 3 are 1,1,1,1 and 3 (that is fours 1's and one 3).

Since "sum" means "add," then 1 + 1 + 1 + 1 + 3 gives a final answer of 7.

**Question:** Can you find two numbers which have a product of 741 and sum of 70 ?

**Answer:** The two number you are looking for are 57 and 13.

This is beacause 57 multiplied by 13 gives 741, and 57 added to 13 gives 70.

**Question:** What are the two numbers that the sum is 12 and the product is 36?

**Answer:** Remember, sum means add and product means multiply.

The two numbers that answer this question are 6 and 6.

This is because 6 add 6 is 12, and 6 multiplied by 6 is 36.

**Question:** The product of 4/3 and a number is 84. What is the number?

**Answer:** Divide 84 by 4/3 to give 63.

**Question:** What is 1/3 the sum of six and three?

**Answer:** First of all, work out the sum of 6 and 3 by adding these together to give 9.

Now to find a third of something you divide by 3, so 9 divided by 3 is 3.

**Question:** What number pair has the sum of 5 product of 4?

**Answer:** Sum means add, and product means multiply.

Therefore the two numbers needed are 1 and 4, because 1 added to 4 is 5 and 1 multiplied by 4 is 4.

**Question:** Can you find a number which has a product of -14 and a sum of 5?

**Answer:** The two numbers are -2 and 7, since -2 times 7 is -14, and -2 + 7 is 5.

**Question:** Can you find two numbers that have a product of -18 and a sum of -7?

**Answer:** The two numbers are -9 and 2.

This is because -9 multiplied by 2 is -18, and -9 plus 2 is -7.

**Question:** What is the product of 0.009 & 2.84?

**Answer:** To find the product of any two numbers just multiply them.

0.009 multipled by 2.84 gives 0.02556.

**Question:** How can I work out the sum of 2/12 and 6/12?

**Answer:** To find the sum just add the two fractions together to get 8/12 which simplifies to 2/3.

**Question:** The product of two whole numbers is 648 and their sum is 51. What are the two numbers?

**Answer:** The two numbers are 24 and 27.

This is because 24 multiplied by 27 gives 648.

Also, 24 added to 27 gives 51.

Remember, product means multiply and sum means add.

**Question:** What is the sum of 19 and 25 multiplied by their difference?

**Answer:** First, work out the sum of 19 and 25 by adding the two numbers together to give 44.

Next, find the difference of 25 and 19 by subtracting the numbers to give 6.

Now multiply 44 by 6 to give 264.

**Question:** What is the answer to halve the product of 5 and 12?

**Answer:** First of all work out the product of 5 and 12.

Therefore, multiply the 5 by the 12 to give 60 (since product means multiply).

Now half 60 to give a final of answer of 30.

**Question:** Can you find two numbers which have a product of 60 and a sum of 100?

**Answer:** The two numbers are not integers, so there is not an obvious answer.

You will need to solve the simultaneous equations xy = 60, and x + y = 100, to give x

The two answers are 99.3963 and 0.6036 rounded to 4 decimal places.

**Question:** Can you find two numbers which have a sum of 13 and a product of 12?

**Answer:** Sum means add and product means multiply.

The two numbers are 1 and 12, as 1 + 12 = 13 and 1 multiplied by 12 gives 12.

**Question:** What two numbers have a sum of 15 and a product of 36 ?

**Answer:** The answers are 3 and 12, since 3 + 12 = 15, and 3 multiplied by 12 is 36.

**Question:** What’s the product of 7/12 and 14?

**Answer:** Convert 7/12 into a decimal by dividing 7 by 12 to give 0.583..., now multiply this by 14 to give 8.17 rounded to 2 decimal places or 49/6 if you prefer a fraction.

**Question:** What is the product of 1 and 5?

**Answer:** Just multiply 1 by 5 to give an answer of 5.

**Question:** What is the product of (3+20)(4-30)?

**Answer:** First, work out the brackets:

3 added to 20 gives 23, and 4 minus 30 gives - 26.

Now multiply 23 by -26 to give a final answer of -598.

**Question:** The product of 6 and 7 is how much greater than the sum of 6 and 7?

**Answer:** The product of 6 and 7 is 6 times 7 which is 42.

The sum of 6 and 7 is 13.

So 42 take away 13 is 29.

**© 2011 Mark**

## Comments

**Rachel Simpson** on April 30, 2020:

What is the product of 2,3and 4