Albert is
d years old. Seth is five times as old as Albert and Charlie is 10 years younger than Seth.
- Express Charlie's age in terms of d.
- Albert is 7 years old as of now. ln how many years' time will Charlie be 3 times as old as Albert?
(a)
Albert's age =
d years
Seth's age = 5
d years
Charlie's age = (5
d - 10) years
(b)
d = 7
Difference in age remains unchanged.
Difference in age between Charlie and Albert
= (5
d - 10) -
d = 5
d -
d - 10
= 4
d - 10
= 4 x 7 - 10
= 18 years
Difference in the age when Charlie will be 3 times as old as Albert
= 3 u - 1 u
= 2 u
2 u = 18
1 u = 18 ÷ 2 = 9
Number of years' time so Charlie will be 3 times as old as Albert
= 9 - 7
= 2 years
Answer(s): (a) (5
d - 10) years; (b) 2 years