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

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

Ques:- What is the sum of two consecutive even numbers, the difference of whose squares is 84?
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One Answer on this Question

  1. 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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