What is the sum of two consecutive even numbers, if the difference of their squares is 92?



[ A ]    52
[ B ]    56
[ C ]    42
[ D ]    46 right
Answer : Option D
Explanation :
Let the number be x and x+2.

Then ,$(x+2)^2$-$x^2$=92

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

Or,(2x+2)x2=92

Or, x+1 =23

Or,x = 22

So, sum of the numbers =

x+x+2=22+22+2=46

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