Multiple choice

A man said, 15 years from now, I will be 3 more than twice my daughter's age. While 2 years ago, I was six times the age my daughter was then. Then the present age of his daughter is

  1. 6 years

  2. 7 years

  3. 9 years

  4. 10 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let man's age be M and daughter's be D. (M + 15) = 2(D + 15) + 3 => M = 2D + 18. Also (M - 2) = 6(D - 2) => M = 6D - 10. Equating: 2D + 18 = 6D - 10 => 28 = 4D => D = 7.

AI explanation

Let the present ages of the man and his daughter be x and y respectively. From the first condition, x plus 15 equals 3 plus 2 multiplied by (y plus 15), which simplifies to x equals 2y plus 18. From the second condition, x minus 2 equals 6 multiplied by (y minus 2), which simplifies to x equals 6y minus 10. Equating both expressions for x gives 2y plus 18 equals 6y minus 10, meaning 4y equals 28 and y equals 7. The present age of his daughter is 7 years.

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