Multiple choice

The ages of Samina and Suhana are in the ratio of 7 : 3 respectively.After 6 years the ratio of their ages will be 5 : 3.What is the difference in their ages?

  1. 6 years

  2. 8 years

  3. 10 years

  4. 12 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Samina's present age = 7x and Suhana's present age = 3x (ratio 7:3). After 6 years: (7x + 6) / (3x + 6) = 5/3. Cross-multiplying: 3(7x + 6) = 5(3x + 6), giving 21x + 18 = 15x + 30, so 6x = 12 and x = 2. Present ages: Samina = 14, Suhana = 6. Difference = 14 - 6 = 8 years. This difference remains constant throughout their lives. Option A (6 years) is the age ratio denominator, not the difference. Option C (10 years) and D (12 years) are incorrect calculations.

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