Question

The square of the greater of two consecutive Even Numbers exceeds the square of the smaller by 36. find the numbers

Answer 1

Let the two consecutive even numbers be x, x+2
As per the problem
(x+2)^2=36+x^2
x^2+4+4x=36+x^2
4x+4=36
4x=36-4
4x=32
x=32/4
x=8
x+2=8+2=10

Thereforethe two consecutive even numbers are 8,10