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Seven years from now, Anamika will be as old as Malini was 4 years ago. Srinidhi wasborn 2 years ago. The average age of
Anamika, Malini and Srinidhi 10 years from nowwill be 33 years. What is the present age of Anamika?
30 years
31 years
29 years
28 years
- Assume Anamika's present age is A.
- Malini's present age is M.
- Seven years from now, Anamika will be A + 7 years old.
- Four years ago, Malini was M - 4 years old.
- According to the problem, A + 7 = M - 4.
- Srinidhi was born 2 years ago, so Srinidhi's current age is 2.
- Ten years from now, their ages will be A + 10, M + 10, and 12 (for Srinidhi).
- The average age of Anamika, Malini, and Srinidhi ten years from now is 33.
- Average: (A+10+M+10+12)/3=33.
- This simplifies to A + M + 32 = 99.
- Further simplification gives A + M = 67.
- Solve the equations: A + 7 = M - 4 and A + M = 67.
- Substituting M = A + 11 into the equation A + M = 67 gives:
- A + (A + 11) = 67
- 2A + 11 = 67
- 2A=56 so A=28.
Option 4: 28 years is the correct answer.
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