Multiple choice

Ten years ago, Manisha was half of Atul in age. If the ratio of their present ages is 3: 4, what will be the total of their present ages?

  1. 33 years

  2. 37 years

  3. 35 years

  4. 41 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let present ages be 3x and 4x (ratio 3:4). Ten years ago: (3x - 10) = 1/2 × (4x - 10). Solving: 3x - 10 = 2x - 5, giving x = 5. Present ages: Manisha = 15, Atul = 20. Total = 35 years. Check: 10 years ago they were 5 and 10, and indeed 5 = 1/2 × 10.

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