Father's age 3 years ago from present was 5 times of the age of his son 6 years ago from present. Son's age after 7 years from present is 20 years. What is the ratio of present ages of father and son?
Show answer & explanation
Correct answer: B
Explanation
Let:
Father's current age = F
Son's current age = S
3 years ago, the father's age = 5 × (Son's age 6 years ago)
F − 3 = 5(S − 6)
F − 3 = 5S − 30
F = 5S − 27 ... (1)
7 years from now, the son's age = 20
S + 7 = 20
S = 13
Now, substituting S = 13 into equation (1):
F = 5(13) − 27 = 65 − 27 = 38
Ratio:
F : S = 38 : 13
Correct Answer: B) 38 : 13