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Answer: Manish is 23 years old and Savita is 8 years old

Let Manish's present age be \(x\) years and Savita's \(y\) years.

\(x + y = 31\) ... (I)

Three years ago: \(x - 3 = 4(y - 3)\), so \(x - 4y = -9\) ... (II)

Subtract (II) from (I): \(5y = 40\), \(y = 8\). Then \(x = 31 - 8 = 23\).

Check: 3 years ago Manish was 20 and Savita was 5, and \(20 = 4 \times 5\).

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