Tom is
j years old. Liam is six times as old as Tom and Elijah is 8 years younger than Liam.
- Express Elijah's age in terms of j.
- Tom is 8 years old as of now. ln how many years' time will Elijah be 3 times as old as Tom?
(a)
Tom's age =
j years
Liam's age = 6
j years
Elijah's age = (6
j - 8) years
(b)
j = 8
Difference in age remains unchanged.
Difference in age between Elijah and Tom
= (6
j - 8) -
j = 6
j -
j - 8
= 5
j - 8
= 5 x 8 - 8
= 32 years
Difference in the age when Elijah will be 3 times as old as Tom
= 3 u - 1 u
= 2 u
2 u = 32
1 u = 32 ÷ 2 = 16
Number of years' time so Elijah will be 3 times as old as Tom
= 16 - 8
= 8 years
Answer(s): (a) (6
j - 8) years; (b) 8 years
