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Answer: The numbers are 2 and 5.

Let the smaller number be \(x\); then the greater number is \(x + 3\).

Given: \(2x + 3(x + 3) = 19\)

\(2x + 3x + 9 = 19 \Rightarrow 5x = 10 \Rightarrow x = 2\).

So the smaller number is 2 and the greater number is \(2 + 3 = 5\).

Check: \(2(2) + 3(5) = 4 + 15 = 19\) ✓ and \(5 - 2 = 3\) ✓.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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