Question

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

Answer 1

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!