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ExamsIBPS POQuantitative Aptitude

Quantity I: A's age is 5 times his son's age. After 15 years, the ratio of A's age to his son's age will be 13:5. Find A's age (in years). Quantity II: 45 What is the relationship between Quantity I and Quantity II?

  1. Quantity I > Quantity II
  2. Quantity I < Quantity II
  3. Quantity I ≥ Quantity II
  4. Quantity I ≤ Quantity II

Correct answer: Quantity I > Quantity II

Solution

Let the son's present age be x, so A's present age is 5x. After 15 years, \(\frac{5x+15}{x+15}=\frac{13}{5}\). Solving gives x = 5, so A's age is 25 years. Since 25 < 45, Quantity I is less than Quantity II.

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