Neha's mother was four times her age 12 years ago. She will be twice as old as…
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Neha's mother was four times her age 12 years ago. She will be twice as old as Neha 12 years from now. What is the present age of Neha's mother ?
- A.
49 years
- B.
57 years
- C.
60 years
- D.
65 years
Attempted by 387 students.
Show answer & explanation
Correct answer: C
Let Neha's present age be x years.
12 years ago Neha's age = x - 12. Her mother's age 12 years ago = 4(x - 12) = 4x - 48.
Present mother's age = (4x - 48) + 12 = 4x - 36.
After 12 years Neha's age = x + 12. Mother's age after 12 years = (4x - 36) + 12 = 4x - 24.
Given mother's age after 12 years = 2 × Neha's age after 12 years, so 4x - 24 = 2(x + 12).
Solve: 4x - 24 = 2x + 24 ⇒ 2x = 48 ⇒ x = 24. So Neha is 24 years now.
Mother's present age = 4x - 36 = 4(24) - 36 = 96 - 36 = 60 years.
Answer: 60 years.