Tommy is
q years old. Jeremy is six times as old as Tommy and Elijah is 4 years younger than Jeremy.
- Express Elijah's age in terms of q.
- Tommy is 4 years old as of now. ln how many years' time will Elijah be 3 times as old as Tommy?
(a)
Tommy's age =
q years
Jeremy's age = 6
q years
Elijah's age = (6
q - 4) years
(b)
q = 4
Difference in age remains unchanged.
Difference in age between Elijah and Tommy
= (6
q - 4) -
q = 6
q -
q - 4
= 5
q - 4
= 5 x 4 - 4
= 16 years
Difference in the age when Elijah will be 3 times as old as Tommy
= 3 u - 1 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of years' time so Elijah will be 3 times as old as Tommy
= 8 - 4
= 4 years
Answer(s): (a) (6
q - 4) years; (b) 4 years