Father’s age 12 years ago from present was 2 times of the age of his son 3 years ago from present. Son’s age after 12 years from present is 28 years. What is present age of father?
Show answer & explanation
Correct answer: A
Explanation
Let:
Father's current age = F
Son's current age = S
12 years ago, the father's age = 2 × (Son's age 3 years ago)
F − 12 = 2(S − 3)
F − 12 = 2S − 6
F = 2S + 6 ... (1)
12 years from now, the son's age = 28
S + 12 = 28
S = 16
Substituting S = 16:
F = 2(16) + 6 = 32 + 6 = 38
Correct Answer = (A) 38 years