Multiple choice

The present age of P and Q are 40 and 33 years respectively. After X years, the ratio of ages of Q and P to will be 5:6. What is value of X?

  1. 2 years

  2. 4 years

  3. 6 years

  4. 8 years
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A Correct answer
Explanation

After X years, P is 40 + X and Q is 33 + X. The ratio Q/P = (33 + X) / (40 + X) = 5 / 6. Cross-multiplying gives 6 * (33 + X) = 5 * (40 + X), so 198 + 6X = 200 + 5X. Solving for X gives X = 2.

AI explanation

After X years, P will be 40 + X years old and Q will be 33 + X years old. The given ratio is (33 + X) / (40 + X) = 5 / 6. Cross-multiplying the terms gives 198 + 6X = 200 + 5X, which simplifies to X = 2. The value of X is 2 years.

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