Question

# If the ratio of two numbers is 7 : 2 and the bigger of the two numbers is 21, what is the smaller number?

Solution

## Ratio of two numbers = 7:2$=\frac{7}{2}$ The bigger number = 21 Let the smaller number be x. Because the given ratio of two numbers is greater than 1, the ratio should be of the bigger number to the smaller number. ∴ Ratio of the bigger number to the smaller number = 21:x$=\frac{21}{x}$ Because the two ratios are the same, $\frac{7}{2}=\frac{21}{x}$. Also, because the numerator of the second ratio is three times the numerator of the first ratio, x = 2 × 3 = 6. Thus, the smaller number is 6.MathematicsMathematicsStandard VI

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