Albert is
q years old. Bryan is five times as old as Albert and Simon is 10 years younger than Bryan.
- Express Simon's age in terms of q.
- Albert is 10 years old as of now. ln how many years' time will Simon be 3 times as old as Albert?
(a)
Albert's age =
q years
Bryan's age = 5
q years
Simon's age = (5
q - 10) years
(b)
q = 10
Difference in age remains unchanged.
Difference in age between Simon and Albert
= (5
q - 10) -
q = 5
q -
q - 10
= 4
q - 10
= 4 x 10 - 10
= 30 years
Difference in the age when Simon will be 3 times as old as Albert
= 3 u - 1 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' time so Simon will be 3 times as old as Albert
= 15 - 10
= 5 years
Answer(s): (a) (5
q - 10) years; (b) 5 years
