Question

25. The difference of the square of two consecutive even numbers is 84.
What is the sum of these two consecutive even numbers?
(A) 34
(B) 38
(C) 36
(D) 42​

Answer 1

Answer:

Aptitude :: Problems on Numbers - Discussion

What is the sum of two consecutive even numbers, the difference of whose squares is 84? Explanation: Let the numbers be x and x + 2. x = 20.

We have given that, The sum of two consecutive even numbers is 38.

For any two consecutive even numbers, the difference is 2. For example, 6 and 8 are two consecutive even numbers, their difference = 8 - 6 = 2. ... If n is an odd number, then the sum of n consecutive numbers will be divisible by n. For example, consecutive 3 numbers- 5+6+7=18 and 18 is divisible by 3.