Question

What is the sum of 2 consecutive even number.the difference of whose squares is 84?

Answer 1

as the number is even so
number Is 2n
it's consecutive even number will be=2n+2

(2n+2)^2- (2n)^2=84

8n=80 n=10

so number =2n=2×10=20
2n+2=20+2=22

so numbers are 20 and 22