Multiple choice

The ratio of present ages of Ramya and Saurabh is 8 : 7. After 10 years, the ratio of their ages will be 12 : 11. What is Ramya's present age?

  1. 20 years

  2. 14 years

  3. 63 years

  4. 45 years
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A Correct answer
AI explanation

Let Ramya and Saurabh's present ages be 8x and 7x, making their ages after 10 years 8x + 10 and 7x + 10. Since the future ratio is 12 to 11, we set 8x + 10 divided by 7x + 10 equal to 12 divided by 11. Solving the equation 88x + 110 = 84x + 120 yields x = 2.5, so Ramya's present age is 8(2.5), which is 20 years.

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