Question
The sum of the squares of three consecutive odd numbers is 2531.Find the numbers.
The sum of the squares of three consecutive odd numbers is 2531.Find the numbers.
Answer: Option C
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Let the numbers be x, x + 2 and x + 4.
Then, X2 +(x+2)2 +(x+4)2 = 2531=↔3x2 + 12x-2511 = 0
↔ X2+4x-837 = 0↔(x-27)(x+31) = 0↔x = 27.
Hence, the required numbers are 27, 29 and 31.
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