Problems on Numbers

What is the sum of two consecutive even numbers, the difference of whose squares is 84?

A 34

B 38

C 42

D 46

ANS:C - 42

Let the numbers be x and x + 2. Then, (x + 2)² - x² = 84 4x + 4 = 84 4x = 80 x = 20. The required sum = x + (x + 2) = 2x + 2 = 42.

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