Multiple choice

5 years ago, Ambika's age is 7 times the daughter's age. The daughter's present age is one-fourth of the Ambika's age. What is Ambika's present age?

  1. 35 years

  2. 40 years

  3. 26 years

  4. 32 years

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let daughter's present age = d, Ambika's present age = a. 5 years ago: a - 5 = 7(d - 5). Also: d = a/4. Substituting: a - 5 = 7(a/4 - 5). Solving: a - 5 = 7a/4 - 35, so a/4 = 30, a = 120. Wait - checking options: if d = a/4, and a - 5 = 7(d - 5), then a - 5 = 7(a/4 - 5) = 7a/4 - 35. Rearranging: 35 - 5 = 7a/4 - a = 3a/4. So 30 = 3a/4, a = 40. Option B is correct.

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