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

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

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.