Multiple choice

The mean of the age of three students Vijay, Rahul and Anu is $15\ years$. If their ages in the ratio $4:5:6$ respectively, then their respectively ages are

  1. $12\ years,15\ years,18\ years$
  2. $12\ years,18\ years,15\ years$
  3. $18\ years,15\ years,12\ years$
  4. $15\ years,12\ years,18\ years$
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A Correct answer
Explanation

Sum of ages = 15 * 3 = 45. Ratio 4:5:6 means 4x + 5x + 6x = 15x = 45, so x = 3. Ages are 4*3=12, 5*3=15, 6*3=18.

AI explanation

The total age of the three students is the mean of 15 years multiplied by 3, giving 45 years. Let their ages be 4x, 5x and 6x, so their combined age is 15x. Therefore, 15x equals 45, meaning x is 3. Multiplying the ratio parts by 3 gives their respective ages as 12 years, 15 years and 18 years.

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