Multiple choice

Mother's age is thrice the daughter's age. After 12 years mother's age will be 2.2 times the daughter's age. What is mother's present age?

  1. 36 years

  2. 57 years

  3. 45 years

  4. 54 years

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let daughter's present age = x years. Then mother's present age = 3x years. After 12 years: mother's age = 3x + 12, daughter's age = x + 12. Given: 3x + 12 = 2.2(x + 12). Solving: 3x + 12 = 2.2x + 26.4, so 0.8x = 14.4, giving x = 18. Mother's age = 3x = 3 × 18 = 54 years. Option D (54 years) is correct.

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