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