Sum of squares of 2 consecutive natural even numbers is 244; find the numbers.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: 10 and 12

Let the numbers be \(x\) and \(x + 2\).

\[x^2 + (x + 2)^2 = 244\]\[2x^2 + 4x - 240 = 0\]\[x^2 + 2x - 120 = 0\]\[(x + 12)(x - 10) = 0\]

\(x = 10\) (−12 is not natural). The numbers are 10 and 12; check: \(100 + 144 = 244\).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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