Harry is
k years old. Bobby is five times as old as Harry and Japheth is 8 years younger than Bobby.
- Express Japheth's age in terms of k.
- Harry is 10 years old as of now. ln how many years' time will Japheth be 3 times as old as Harry?
(a)
Harry's age =
k years
Bobby's age = 5
k years
Japheth's age = (5
k - 8) years
(b)
k = 10
Difference in age remains unchanged.
Difference in age between Japheth and Harry
= (5
k - 8) -
k = 5
k -
k - 8
= 4
k - 8
= 4 x 10 - 8
= 32 years
Difference in the age when Japheth will be 3 times as old as Harry
= 3 u - 1 u
= 2 u
2 u = 32
1 u = 32 ÷ 2 = 16
Number of years' time so Japheth will be 3 times as old as Harry
= 16 - 10
= 6 years
Answer(s): (a) (5
k - 8) years; (b) 6 years