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

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

Read on for an easy explanation of these concepts, along with helpful examples.

Read on for an easy explanation of these concepts, along with helpful examples.

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: 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: 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 do you add to 5 to get to 13?

Answer: Just work out 13 minus 5 to give 8.

Question: What are the two numbers that give the product of -24 and sum-10?

Answer: The two numbers are -12 and 2, since -12 multiplied by 2 is -24 and -12 add 2 is -10.

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: The total of a number, 9 and 12 is 32. What is the number?

Answer: Total means add to the 3 numbers must add to give 32 (? + 9 + 12 = 32)

The number is 11.

Question: What is the sum of 1/2, 1/4 and 2/5?

Answer: Add the fractions together to find the sum.

First make a common denominator of 20.

10/20 + 5/20 + 8/20 = 23/20.

Question: What is the product of 112×9?

Answer: Just multiply the numbers together to find the product, so the answer is 1008.

Question: 9 more than 7?

Answer: Just add the two numbers together to give 16.

Question: What two numbers have a product of 14?

Answer: 2 and 7 give a product of 14, as 2 multiplied by 7 is 14.

Question: What is the product of the difference between 12 and 3 and the quotient of 12 and 3?

Answer: The difference between 12 and 3 is 12 subtract 3 which is 9.

The quotient of 12 and 3 is 12 divided by 3 which is 4.

Now work out the product of 4 and 9 by multiplying them together to give 36.

Question: What is the product of 12 and 60?

Answer: Just multiply 12 and 60 together to find the product which is 720.

Question: If the sum of two numbers is 12, and its product is 32, what are the numbers?

Answer: The two numbers are 8 and 4, since 8 times 4 is 32, and 8 add 4 is 12.

Question: What is the product of 1 and 5?

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

Question: What two numbers multiply to 72 and add up to 17?

Answer: The two numbers are 9 and 8, since 9 multiplied by 8 is 72, and 9 add 8 is 17.

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.

Question: The mean of 8 numbers is 15 If a number 24 is added, then what will be the mean of the 9 numbers?

Answer: First multiply 8 by 15 to give 120.

Now add 24 to 120 to give 144.

Lastly divide 144 by 9 to give 16.

Question: What two numbers add to make 5 and times to make -66 ?

Answer: 11 and -6 since, 11 + -6 = 5 and 11 times -6 is -66.

Question: Can you solve this: the product is 12 and the sum is 7?

Answer: The two numbers you are looking for are 4 and 3.

Since 4 multiplied by 3 is 12 and 4 added to 3 is 7.

Question: What is 12+3×4?

Answer: First work out 3 times 4, as multiplication takes priority over addition.

So 12 + 12 = 24.

Question: What is 7 added to the product of 123 and 7?

Answer: First find the product of 123 and 7 by multiplying them together to give 861.

Next add 7 to 861 to give 868.

Question: The sum of two numbers is −48 and their difference is 17. Can you find the numbers?

Answer: The two numbers are -15.5 and -32.5.

Question: How would you work out 58 times 9 is your head?

Answer: Break 58 into tens and units as 50 and 8.

Multiply 50 by 9 to give 450, and multiply 8 by 9 to give 72.

Next add 450 and 72 up to give 522.

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 the Product of 6×7/9?

Answer: Write 6 as a fraction (6/1), and now multiply 6/1 by 7/9 to give 42/9.

This can now be changed to a mixed number as 4 2/3 .

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

Answer: The two numbers you are looking for are -4 and -3.

This is because -4 times -3 is 12, and -4 + -3 is -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: 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: 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 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: 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: 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: 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 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: 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: 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: 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: 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: 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: 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: 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: 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: 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’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: Can you find a pair of numbers with a sum of 9 and a product of 20?

Answer: Product means multiply and sum means add.

So, the two numbers which solve this problem are 4 and 5 (since 4 added to 5 gives 9 and 4 multiplied by 5 is 20).

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.

© 2011 Mark

Comments

Rachel Simpson on April 30, 2020:

What is the product of 2,3and 4

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