Question

The sum of two numbers is 137 and their difference is 43.Find the numbers.

Answer 1

Let x and y be the 2 numbers.

let x be the larger number

Given,
x - y = 43

so x = 43+y

And

x + y = 137

putting x =43 + y,we get,

43+y+y=137

43 + 2y =137

2y = 137 - 43 = 94

y = $\frac{94}{2}$ = 47

x= 43+y

y=43 +47=90

so the n numbers are 90 and 47