Question

Find two consecutive positive even integers whose product is 288.

Answer 1

Let the two consecutive positive integer be x and x+2
According to the given condition,
X(x+2)=288


x(x+18)-16(x+18)=0
(x+18)(x-16)=0
x+18=0 or x-16=0
x=-18 or x=16
Since the integers are positive
We wil take x=16
Therefore another positive integer will be 16+2=18
Hence the positive integers are 16 and 18