Question:
What is the sum of two consecutive even numbers, the difference of whose squares is 84?
[A].34
38
42
46
What is the sum of two consecutive even numbers, the difference of whose squares is 84?
[A].
[B].
[C].
[D].
Answer: Option C
Explanation:
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.