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