Multiple choice

The age of Girija and Suman are in the ratio of 5 : 6 respectively. After 6 years the ratio of their age will be 8 : 9. What is the difference in their ages ?

  1. 2 years

  2. 4 years

  3. 3 years

  4. 5 years

  5. None of these

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A Correct answer
Explanation

Let ages be 5x and 6x. After 6 years: (5x+6)/(6x+6) = 8/9. Cross-multiplying: 45x+54 = 48x+48, so 3x = 6 and x = 2. Current ages: 10 and 12 years, difference = 2 years. This difference remains constant throughout their lives.