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What is the sum of two consecutive even numbers the difference...

This question belongs to Arithmetic Ability Problems On Numbers
Problems on Numbers
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What is the sum of two consecutive even numbers, the difference of whose squares is 84 ?

Answer & Solution
Correct Answer: Option C
Let the numbers be x and x + 2
Then,
(x + 2)2 - x2 = 84
⇔ 4x + 4 = 84
⇔ 4x = 80
⇔ x = 20
∴ Required sum
= x + (x + 2)
= 2x + 2
= 42
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