Question

. If the lesser of two consecutive even integers is five more than half the greater,

what are the two integers?

Answer 1

12 and 14

Explanation:

You want two consecutive even integers such that the lesser is five more than half the greater.

Setup

Let x represent the lesser of the integers. Then x+2 is the greater, and we can write the given relation as ...

x = (x+2)/2 +5 . . . . . lesser is 5 more than half the greater

Solution

Multiplying by 2 gives ...

2x = x +2 +10

x = 12 . . . . . . . . subtract x

x+2 = 14

The two integers are 12 and 14.