Multiple choice

Seven years from now, Anamika will be as old as Malini was 4 years ago. Srinidhi was born 2 years ago. The average age of Anamika, Malini and Srinidhi 10 years from now will be 33 years. What is the present age of Anamika?

  1. 30 years

  2. 31 years

  3. 29 years

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

Let A = Anamika's present age, M = Malini's present age. From '7 years from now, Anamika = Malini 4 years ago': A+7 = M-4, so M = A+11. Srinidhi is 2 years old (born 2 years ago). Average age 10 years from now = 33, so sum = 99: (A+10) + (M+10) + (2+10) = 99. Substituting M: A+10 + A+21 + 12 = 99, so 2A+43 = 99, 2A = 56, A = 28.

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