Multiple choice

The ages of Raju and Raman are in the ratio 5 : 8. If Raju was 5 years older and Raman 4 years younger, the age of Raju would have been the same as that of Raman. What is the age of Raju?

  1. 15 years

  2. 16 years

  3. 24 years

  4. 13 years
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A Correct answer
Explanation

Let ages be 5x and 8x. (5x + 5) = (8x - 4). Solving for x: 3x = 9, so x = 3. Raju's age is 5 * 3 = 15.

AI explanation

Let the present ages of Raju and Raman be 5x and 8x respectively. The given condition translates to the equation 5x + 5 = 8x minus 4, since Raju's modified age equals Raman's modified age. Solving this linear equation gives 3x = 9, so x equals 3. Therefore, Raju's present age is 5 multiplied by 3, which is 15 years.

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