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AMO 2027 Grades 4-5 SET 23 - Self-study Question 13

AMO · AMO 2027 Grades 4-5 SET 23 - Self-study

Question 13

The sum of the ages of Rohan, his father and his grandfather is 108. The father’s age is 4 times more than Rohan’s age. The grandfather’s age is the same as Rohan’s age in months (1 year = 12 months). How old is Rohan’s grandfather now?

The original phrase “4 times more than” is ambiguous. For this practice question, interpret it as the father being older by four times Rohan’s age: father = Rohan + 4 × Rohan. The grandfather’s age in years equals 12 times Rohan’s age in years. Choose under this convention; the explanation discusses the other reading. All numerical choices are in years.
  1. 48
  2. 60
  3. 84
  4. Impossible to know
  5. None of the above