Archie is
f years old. Reggie is six times as old as Archie and Pierre is 11 years younger than Reggie.
- Express Pierre's age in terms of f.
- Archie is 7 years old as of now. ln how many years' time will Pierre be 3 times as old as Archie?
(a)
Archie's age =
f years
Reggie's age = 6
f years
Pierre's age = (6
f - 11) years
(b)
f = 7
Difference in age remains unchanged.
Difference in age between Pierre and Archie
= (6
f - 11) -
f = 6
f -
f - 11
= 5
f - 11
= 5 x 7 - 11
= 24 years
Difference in the age when Pierre will be 3 times as old as Archie
= 3 u - 1 u
= 2 u
2 u = 24
1 u = 24 ÷ 2 = 12
Number of years' time so Pierre will be 3 times as old as Archie
= 12 - 7
= 5 years
Answer(s): (a) (6
f - 11) years; (b) 5 years
