Multiple choice

Find the value of both quantities and then state the correct relationship. Quantity I: Present age of A and B are in the ratio of 6: 7 respectively. 16 years hence, the ratio of ages will become 7: 8 respectively. What is A's present age in years? Quantity II: At present the ratio between the ages of Rahul and Nirdosh is 2: 1. After 7 years, Rahul's age will be 91 years. What is the age of Nirdosh at present?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
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A Correct answer
Explanation

Quantity I: Let ages be 6x and 7x. After 16 years: (6x + 16)/(7x + 16) = 7/8. 48x + 128 = 49x + 112, x = 16. A's age = 6 × 16 = 96. Quantity II: Rahul's present age = 91 - 7 = 84. Nirdosh's age = 84/2 = 42. Since 96 > 42, Quantity I > Quantity II.

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