Question

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

Answer 1

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.