Question

The sun of two numbers is 51 and their difference is 13. find the numbers.

Answer 1

32 and 19

Explanation:

Let's call the numbers x and y.

Write out the equations

x + y = 51

x - y = 13

Simplify the second equation

x = 13 + y

Substitute into the first equation and simplify

(13 + y) + y = 51

13 + 2y = 51

2y = 51 - 13

2y = 38

y = 19

Substitute y for 19 in the second equation

x = 13 + y

x = 13 + 19

x = 32