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A's mother was four times as old as A, ten years ago. After ten years she will be twice as old as A. Then A's present age is?
  1. 10 years
  2. 30 years
  3. 20 years
  4. None of these
Explanation

Let A's present age = x

10 years ago:

Mother's age = 4 _ (x - 10)

After 10 years:

Mother's age = 2 _ (x + 10)

Difference between those two mother ages is 20 years:

4(x - 10) + 20 = 2(x + 10)

4x - 40 + 20 = 2x + 20

4x - 20 = 2x + 20

2x = 40

x = 20 years


Last verified on 12-10-2026

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