Given two consecutive positive even integers, the square of the smallest added to 4 times the largest is equal to 40. What are the integers?

One way is to keep trying pairs of consecutive positive even integers until you find a pair that satisfies the question.

Trying 2 and 4:

2^2 + 4*4 = 20

That was not 40. Trying the next pair:

Trying 4 and 6:

4^2 + 4*6 = 40

The answer is 4 and 6!