Question

The sum of two numbers is 56. their difference is 18. find the two numbers. (56, 18). (42, 14). (37, 19). (34, 22).

Answer 1

(37, 19 )

Explanation:

let x and y be the two numbers , with x greater than y , then

x + y = 56 → (1)

x - y = 18 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 56 + 18

2x + 0 = 74

2x = 74 ( divide both sides by 2 )

x = 37

substitute x = 37 into (1)

37 + y = 56 ( subtract 37 from both sides )

y = 19

the two numbers are (37, 19 )