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Answer: Father's age = 40 years, son's age = 15 years

Let the father's present age be \(x\) years and the son's be \(y\) years.

\(x + 2y = 70\) ... (I) and \(2x + y = 95\) ... (II)

Multiply (II) by 2: \(4x + 2y = 190\)

Subtract the equations to eliminate \(y\):\[-3x = -120\]\[x = 40\]

Substitute \(x = 40\) in (I): \(2y = 70 - 40 = 30\), so \(y = 15\).

Check in (II): \(2(40) + 1(15) = 95\), which is true.

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