Multiple choice

A's present age is thrice his son's present age and 6/11th of his father's present age. The average present age of all of them is 38 years. What is difference between the present ages of A's father and A's son?

  1. 54 years

  2. 68 years

  3. 64 years

  4. 70 years

  5. 60 years
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A Correct answer
Explanation

Let the present age of A be x years. So, present age of the son = x/3 years and A's father's age = 11x/6 years Now, according to question, (x + x/3 + 11x/6)/3 = 38 19x/18 = 38 x = 36 So, present age of A = 36 years Therefore, present age of A's son = 36/3 = 12 years and that of A's father = 11 x 36/6 = 66 years Now, difference between A's father age and A's son age = 66 - 12 = 54 years

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