JAMB Mathematics 2018 Objective — Question 32

Question 32 of 39 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

A father is now three times as old as his son. Twelve years ago, he was six times as old as his son. How old are the son and father (a)20 and 45 (b)100 and 150 (c)20 and 60 (d)35 and 75?

A. 20 and 45
B. 100 and 150
C. 20 and 60Correct
D. 35 and 75

Explanation

Let son=x, father=3x. 12 years ago: 3x−12=6(x−12) → 3x−12=6x−72 → 60=3x → x=20. Father=60.

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