Sean is
a years old. Howard is five times as old as Sean and John is 4 years younger than Howard.
- Express John's age in terms of a.
- Sean is 6 years old as of now. ln how many years' time will John be 3 times as old as Sean?
(a)
Sean's age =
a years
Howard's age = 5
a years
John's age = (5
a - 4) years
(b)
a = 6
Difference in age remains unchanged.
Difference in age between John and Sean
= (5
a - 4) -
a = 5
a -
a - 4
= 4
a - 4
= 4 x 6 - 4
= 20 years
Difference in the age when John will be 3 times as old as Sean
= 3 u - 1 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Number of years' time so John will be 3 times as old as Sean
= 10 - 6
= 4 years
Answer(s): (a) (5
a - 4) years; (b) 4 years