Question

The room numbers on one side of a school corridor are consecutive positive even integers. The product of The room numbers for two adjoining rooms on that side is 7224. Find the room numbers.

Answer 1

Numbers are n, n+2 and we have n(n+2)=7224. Or
n^2+2n-7224=0
Using the quadratic equation
n=84. So n+2=86
The numbers are 84, 86