Question

FIND TWO NUMBERS WHOSE SUM IS 21 AND DIFFERENCE IS 17

11 , 10
2 ,23
19 ,2​

Answer 1

19, 2

Explanation:

let the 2 numbers be x and y with x > y , then

x + y = 21 → (1)

x - y = 17 → (2)

Add the 2 equations term by term to eliminate y , that is

2x = 38 ( divide both sides by 2 )

x = 19

substitute x = 19 into (1) for value of y

19 + y = 21 ( subtract 19 from both sides )

y = 2

The 2 numbers are 19 and 2