# 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
 Answer : Option D Explanation : Let the number be x and x+2.Then ,$(x+2)^2$-$x^2$=92Or,(x+2+x)(x+2-x)=92Or,(2x+2)x2=92Or, x+1 =23Or,x = 22So, sum of the numbers = x+x+2=22+22+2=46