finding integers

Question

Twice the smallest of three consecutive even integers is twelve more than the largest. Find the integers.

Answer 1

Let the 1st integer = x, the next two even integers would be (x + 2) and (x + 4). The problem can be expressed as:

 

2x = (x + 4) + 12   Why? Because x is the smallest integer and (x + 4) is the largest.

2x = x + 16

x = 16

 

The three integers are 16, 18, and 20.