Multiple choice

The ratio of the ages of P, Q and R is 7 : 5 : 4. If Q's age is 40 years, find the sum of the ages of P, Q and R (in years).

  1. 96

  2. 80

  3. 128

  4. 192
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C Correct answer
Explanation

Ratio P:Q:R = 7:5:4. Q = 5x = 40, so x = 8. Sum of ages = (7+5+4) * 8 = 16 * 8 = 128.

AI explanation

Given the ratio of the ages of P, Q and R is 7:5:4, let their ages be 7x, 5x, and 4x. Since Q's age is 40 years, we have 5x = 40, which means x = 8. The sum of their ages is 7x + 5x + 4x = 16x, which calculates to 16 times 8 or 128 years.

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