Question

(ii) The difference between the squares of two consecutive even numbers is 36. Find the number​

Answer 1

Answer:

let the numbers be x and x+2

so according to the question

(x+2)^2-(x)^2=36

=x^2+4+4x-x^2=36

=4x+4=36

=4x=32

x=8

and second number is x+1 so it is 10

Verification -

=(10)^2-(8)^2

=100-64

=36