Question

What is the sum of two consecutive even number, if the difference of whose square is 92

Answer 1

Let the two consecutive even numbers are x and x+2

ATQ,

(x+2)²-x²=92

(x+2-x)(x+2+x)=92            {∵a²-b²=(a-b)(a+b)}

2(2x+2)=92

2x+2=46

2x=44

x=22

x+2=24

their sum is 46