Jeremy is
y years old. Rael is six times as old as Jeremy and Carl is 8 years younger than Rael.
- Express Carl's age in terms of y.
- Jeremy is 10 years old as of now. ln how many years' time will Carl be 4 times as old as Jeremy?
(a)
Jeremy's age =
y years
Rael's age = 6
y years
Carl's age = (6
y - 8) years
(b)
y = 10
Difference in age remains unchanged.
Difference in age between Carl and Jeremy
= (6
y - 8) -
y = 6
y -
y - 8
= 5
y - 8
= 5 x 10 - 8
= 42 years
Difference in the age when Carl will be 4 times as old as Jeremy
= 4 u - 1 u
= 3 u
3 u = 42
1 u = 42 ÷ 3 = 14
Number of years' time so Carl will be 4 times as old as Jeremy
= 14 - 10
= 4 years
Answer(s): (a) (6
y - 8) years; (b) 4 years