Question

The difference of the squares of two consecutive even naturals’ numbers is 92.

Taking x as the smaller of the two numbers, from an equation in x and hence find the

larger of the two.​

Answer 1

Let, the consecutive even natural numbers be x, x+2.

difference of squares of those numbers is 92.

i.e.(x+2)²-(x)² = 92

(x+2+x)(x+2-x) =92

(2x+2)(2) = 92

2x + 2 = 46

2x =44

x = 22

so , the numbers are :

• x = 22
• x+ 2 = 22 + 2 = 24