Peter is
i years old. Elijah is six times as old as Peter and Carl is 4 years younger than Elijah.
- Express Carl's age in terms of i.
- Peter is 6 years old as of now. ln how many years' time will Carl be 3 times as old as Peter?
(a)
Peter's age =
i years
Elijah's age = 6
i years
Carl's age = (6
i - 4) years
(b)
i = 6
Difference in age remains unchanged.
Difference in age between Carl and Peter
= (6
i - 4) -
i = 6
i -
i - 4
= 5
i - 4
= 5 x 6 - 4
= 26 years
Difference in the age when Carl will be 3 times as old as Peter
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time so Carl will be 3 times as old as Peter
= 13 - 6
= 7 years
Answer(s): (a) (6
i - 4) years; (b) 7 years
