Multiple choice

The present age of father is 15 times her daughter's age; and after 10 years, the age of the father will be 4 years more than three times the age of the daughter. What will be the age of the daughter after 16 years?

  1. 16 years

  2. 17 years

  3. 18 years

  4. 20 years

  5. 24 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

F = 15D. (F+10) = 3(D+10) + 4. Substitute F: 15D + 10 = 3D + 30 + 4 => 12D = 24 => D = 2. Daughter's age after 16 years = 2 + 16 = 18.

AI explanation

Let the daughter's present age be x years, so the father's present age is 15x years. After 10 years, their ages will be x + 10 and 15x + 10 respectively. Using the given condition, 15x + 10 = 3(x + 10) + 4, which simplifies to 15x + 10 = 3x + 34. Solving this equation yields 12x = 24, so x = 2. The daughter's age after 16 years will be 2 + 16 = 18 years.

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