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2 years ago

3. The sum of two numbers 49. The difference of the two numbers is 15. What is the product of the two numbers?

Mathematics

1 answer:

Alborosie2 years ago

3 0

Lets set the two numbers as 'a' and 'b'

Now let us set up some equations based on the information:

sum of two numbers 49 --> a + b = 49
difference of the two numbers is 15 --> a -b =15

Equations

a + b = 49 -- equation 1

a - b = 15 -- equation 2

Solve:

(equation 1) + (equation 2)

2a = 64

a = 32 -- equation 3

(equation 3)'s value of a into (equation 2)

32 - b = 15

b = 17

The products of 'a' and 'b' is 544

Hope that helps!

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