Question

Five times the greatest of three consecutive even integers is equal to twice the sum of the other two integers plus 42. What are the three integers?

Answer 1

We can represent the three integers with x, x + 2, and x + 4
This shows that the integers ascend in two units at a time, which are consecutive even integers. Next we can just translate the equation straight through.

5(x+4)=2(x + x + 2 + 42)
5x + 20 = 2(2x + 44)
5x + 20 = 4x + 88
x = 68

The integers are 68, 70, and 72