Question

The sum of two numbers is 57 and the difference is 13 what are the numbers

Answer 1

Guess and Check!
N1=Number 1
N2=Number 2

n1 + n2 = 57

n1 - n2 = 13

2n2 = 70

n2 = 35

n1 = 57 - 35 = 22

22 and 35=number

Answer 2

let the numbers be x and y

x + y = 57 ........(i)
x - y = 13 ........(ii)

Add equations (i) and (ii) to eliminate y

x + y + x - y = 57 + 13
x + x + y - y = 57 +13
2x = 70
x = 70/2 = 35

From (i) x + y = 57
35 + y = 57
y = 57 - 35
y = 22

The numbers are 35 and 22.