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X says to his son Y, "I will be of your grandfather's age when you will be of my age. Also I was of your present age when you were born." The sum of the years of all the three is 144. What is X's age?

Question and options

X says to his son Y, "I will be of your grandfather's age when you will be of my age. Also I was of your present age when you were born." The sum of the years of all the three is 144. What is X's age?
  1. 24
  2. 60
  3. 45
  4. 48

Answer and explanation

Correct answer: D - 48
Let son = Y, father = X, grandfather = G. X was Y's present age when Y was born: X = 2Y. When Y reaches X's age (after X-Y years), X will be G's present age: G = 2X - Y = 3Y. Y + 2Y + 3Y = 144, so Y = 24 and X = 48.

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  • CUSAT CAT Integrated IPR Ph.D.

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