Carl is
c years old. Justin is six times as old as Carl and Vincent is 6 years younger than Justin.
- Express Vincent's age in terms of c.
- Carl is 10 years old as of now. ln how many years' time will Vincent be 3 times as old as Carl?
(a)
Carl's age =
c years
Justin's age = 6
c years
Vincent's age = (6
c - 6) years
(b)
c = 10
Difference in age remains unchanged.
Difference in age between Vincent and Carl
= (6
c - 6) -
c = 6
c -
c - 6
= 5
c - 6
= 5 x 10 - 6
= 44 years
Difference in the age when Vincent will be 3 times as old as Carl
= 3 u - 1 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Number of years' time so Vincent will be 3 times as old as Carl
= 22 - 10
= 12 years
Answer(s): (a) (6
c - 6) years; (b) 12 years
