Vincent is
k years old. Michael is six times as old as Vincent and Julian is 8 years younger than Michael.
- Express Julian's age in terms of k.
- Vincent is 7 years old as of now. ln how many years' time will Julian be 4 times as old as Vincent?
(a)
Vincent's age =
k years
Michael's age = 6
k years
Julian's age = (6
k - 8) years
(b)
k = 7
Difference in age remains unchanged.
Difference in age between Julian and Vincent
= (6
k - 8) -
k = 6
k -
k - 8
= 5
k - 8
= 5 x 7 - 8
= 27 years
Difference in the age when Julian will be 4 times as old as Vincent
= 4 u - 1 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of years' time so Julian will be 4 times as old as Vincent
= 9 - 7
= 2 years
Answer(s): (a) (6
k - 8) years; (b) 2 years
