Question

The sum of 2 numbers is 32. Their difference is 30. What are the 2 numbers? Show all work

Answer 1

31 and 1

Explanation:

let the first number be x

let the second number be y

x + y = 32 ---------- eq 1

x - y = 30 ---------- eq 2

eq 1 - eq 2

(x - x) + (y -(-y)) = 32 - 30

y + y = 2

2y = 2

y = 1

Substitute the value of y in eq 1

x + y = 32

x + 1 = 32

x = 32 - 1

x = 31

Therefore the first number is 31 and the second number is 1