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?

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.

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