Find the three consecutive even integers such that five times the smallest is four times the largest

Let the smallest of three be x.

The second one is x+2 (why?)

The third one is x+4; (why?)

It is known that 5*x=4*(x+4); Five times the smallest equals four times the largest.

From this, we obtain:

5x=4(x+4)=4x+16

x=16

x+2=18;

x+4=20:

**Answer:**

**16,18, and 20**