Paul is
k years old. Fabian is six times as old as Paul and Nick is 15 years younger than Fabian.
- Express Nick's age in terms of k.
- Paul is 9 years old as of now. ln how many years' time will Nick be 3 times as old as Paul?
(a)
Paul's age =
k years
Fabian's age = 6
k years
Nick's age = (6
k - 15) years
(b)
k = 9
Difference in age remains unchanged.
Difference in age between Nick and Paul
= (6
k - 15) -
k = 6
k -
k - 15
= 5
k - 15
= 5 x 9 - 15
= 30 years
Difference in the age when Nick will be 3 times as old as Paul
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' time so Nick will be 3 times as old as Paul
= 15 - 9
= 6 years
Answer(s): (a) (6
k - 15) years; (b) 6 years
