Warren is
k years old. Vincent is six times as old as Warren and John is 4 years younger than Vincent.
- Express John's age in terms of k.
- Warren is 5 years old as of now. ln how many years' time will John be 4 times as old as Warren?
(a)
Warren's age =
k years
Vincent's age = 6
k years
John's age = (6
k - 4) years
(b)
k = 5
Difference in age remains unchanged.
Difference in age between John and Warren
= (6
k - 4) -
k = 6
k -
k - 4
= 5
k - 4
= 5 x 5 - 4
= 21 years
Difference in the age when John will be 4 times as old as Warren
= 4 u - 1 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of years' time so John will be 4 times as old as Warren
= 7 - 5
= 2 years
Answer(s): (a) (6
k - 4) years; (b) 2 years