Question

The sum of Two consecutive integers is 57. If x is the first integer, write and solve an equation to determine both numbers what are the two numbers?

Answer 1

Because these are two consecutive numbers and the first integer is x, the second integer must be x+1 (it could be x-1 too, but here I'm going to solve the problem with x+1).

The sum of the two integers is 57, so we have:
x+ (x+1)= 57
⇒ (x+ x)+ 1= 57 (associative property)
⇒ 2x+ 1= 57
⇒ 2x= 57-1
⇒ 2x= 56
⇒ x= 56/2
⇒ x= 28

Since x= 28, the first integer is 28, and the second integer is:
x+1= 28+1= 29

The two numbers are 28 and 29.

Hope it helps.