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The sum of the cubes of two numbers is 280. If these numbers are in the ratio 2 to 3, what is the smaller number?

Ratio and Proportion MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

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Subject
Ratio and Proportionmathematics-mcqs › ratio-and-proportion
Published
10 Oct 2019
Last updated
28 May 2026

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Explanation

Let the two numbers be 2x and 3x. Their cubes sum to 280: (2x)³ + (3x)³ = 280, which simplifies to 8x³ + 27x³ = 280 or 35x³ = 280. Solving for x³ gives x³ = 8, so x = 2. Therefore, the smaller number is 2 × 2 = 4.

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