Question
What is the sum of two consecutive even numbers, the difference of whose square is 84?
Answer: Option A
Answer: (a)$(x + 2)^2 – x^2 = 84$or $x^2 + 4x + 4 – x^2$ = 84 4x = 84 – 4 = 80 x = $80/4$ = 20x + 2 = 20 + 2 = 22 ∴ The required sum = 20 + 22 = 42
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Answer: (a)$(x + 2)^2 – x^2 = 84$or $x^2 + 4x + 4 – x^2$ = 84 4x = 84 – 4 = 80 x = $80/4$ = 20x + 2 = 20 + 2 = 22 ∴ The required sum = 20 + 22 = 42
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