Asked in: March 2026 board paperTwo numbers differ by 3. The sum of twice the smaller number and thrice the greater number is 19. Find the numbers.

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: The numbers are 5 and 2

Let the greater number be \(x\) and the smaller be \(y\).

\(x - y = 3\) …(I)
\(2y + 3x = 19\), i.e. \(3x + 2y = 19\) …(II)

Multiply (I) by 2: \(2x - 2y = 6\) …(III)

Add (II) and (III): \(5x = 25 \Rightarrow x = 5\). From (I): \(y = 2\).

Check: \(2(2) + 3(5) = 19\) ✓.

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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