Ten years ago Asha's mother was four times older than her daughter. After 10…
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Ten years ago Asha's mother was four times older than her daughter. After 10 years her mother will be twice older than daughter. The present age of Asha's mother is ?
- A.
80
- B.
50
- C.
70
- D.
60
Attempted by 14 students.
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Correct answer: B
Answer: 50 years.
Let the daughter's present age be d and the mother's present age be m.
Ten years ago: m - 10 = 4(d - 10). Simplifying gives m = 4d - 30.
After ten years: m + 10 = 2(d + 10). Substitute m = 4d - 30 to get (4d - 30) + 10 = 2(d + 10).
Solve: 4d - 20 = 2d + 20 → 2d = 40 → d = 20.
Then m = 4d - 30 = 4 × 20 - 30 = 50.
Therefore, the present age of Asha's mother is 50 years.