Multiple choice

The ratio of present ages of Rangitha and Shaheen is 6 : 5. After 12 years, the ratio of their ages will be 7 : 6. What is Rangitha's present age?

  1. 60 years

  2. 55 years

  3. 72 years

  4. 28 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 6x and 5x. (6x+12)/(5x+12) = 7/6. 36x + 72 = 35x + 84. x = 12. Rangitha's age = 6 * 12 = 72.

AI explanation

Let Rangitha's present age be 6x and Shaheen's present age be 5x. After 12 years, their ages will be 6x + 12 and 5x + 12, so the equation is (6x + 12) / (5x + 12) = 7 / 6. Cross-multiplying yields 36x + 72 = 35x + 84, which simplifies to x = 12. Rangitha's present age is 6x, which is 6 times 12, or 72 years.

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