Question

what is the sum of two consecutive even numbers the difference of whose squres is 84?​

Answer 1

Let the numbers be x and x + 2.Then, (x + 2)2 - x2 = 84⇒ 4x + 4 = 84⇒ 4x = 80⇒ x = 20.∴ The required sum= x + (x + 2)= 2x + 2= 42