# The product of two consecutive even integers is 50 more than three times the larger integer. What are the integers?

Apr 27, 2016

8 and 10.

#### Explanation:

Let the numbers be n and n+2.

Then n(n+2)=3(n+2)+50.
So, ${n}^{2} - n - 56 = 0$. The roots are n = even 8 and odd $- 7$.

n=8 and n+2 = 10.