Multiple choice

At present, Ajay's age is 1.5 times Rekha's age. 8 year hence, the respective ratio of Ajay's and Rekha's age will be 25:18. What is Rekha's present age?

  1. 50 years

  2. 28 years

  3. 42 years

  4. 36 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Rekha's present age be x. Then Ajay's age is 1.5x. After 8 years, the ratio becomes (1.5x + 8)/(x + 8) = 25/18. Cross-multiplying gives 27x + 144 = 25x + 200, so 2x = 56 and x = 28. Rekha is currently 28 years old. Option A (50) would satisfy the ratio but is the present age, not future. Options C and D don't satisfy the equation.

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