Question

The sum of two consecutive even integers is 114. Find the two integers by writing and solving an equation using n to represent the smaller of the two integers. Explain your reasoning and show your work.

Answer 1

56, 58

Explanation:

If n is the smaller integer, n+2 is the larger of the two consecutive even integers. Their sum is 114, so we have ...

n +(n+2) = 114

2n = 112 . . . . . . . subtract 2, collect terms

n = 56 . . . . . . . . divide by 2

n+2 = 58 . . . . . . find the larger integer

The two integers are 56 and 58.