Father’s age 30 years ago from present was 4 times of the age of his son 9 years ago from present. Son’s age after 14 years from present is 24 years. What is the ratio of present ages of father and son?
Show answer & explanation
Correct answer: A
Explanation
Let the son's current age be S.
S + 14 = 24
S = 24 - 14 = 10
The son's current age is 10 years.
Let the father's current age be F.
The father's age 30 years ago was F - 30.
The son's age 9 years ago was 10 - 9 = 1 year.
Substituting into the equation:
F - 30 = 4 × (1)
F - 30 = 4
F = 4 + 30 = 34 years
Therefore, the father's current age is 34 years.
Ratio of ages:
Ratio = 34 : 10
17 : 5
Correct Option: (A) 17:5