Two numbers are in the ratio 5:8. If 4 is added to each number, the ratio becomes 2:3. What is the smaller number?

Topic: Ratio and Proportion
Subtopic: Equations with Ratios

A10

B15

C20

D25

Explanation

(5x + 4)/(8x + 4) = 2/3 => 3(5x + 4) = 2(8x + 4) => 15x + 12 = 16x + 8 => x = 4. Smaller number = 5x = 5 * 4 = 20.

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