Fred is
j years old. Tommy is five times as old as Fred and Luke is 10 years younger than Tommy.
- Express Luke's age in terms of j.
- Fred is 8 years old as of now. ln how many years' time will Luke be 3 times as old as Fred?
(a)
Fred's age =
j years
Tommy's age = 5
j years
Luke's age = (5
j - 10) years
(b)
j = 8
Difference in age remains unchanged.
Difference in age between Luke and Fred
= (5
j - 10) -
j = 5
j -
j - 10
= 4
j - 10
= 4 x 8 - 10
= 22 years
Difference in the age when Luke will be 3 times as old as Fred
= 3 u - 1 u
= 2 u
2 u = 22
1 u = 22 ÷ 2 = 11
Number of years' time so Luke will be 3 times as old as Fred
= 11 - 8
= 3 years
Answer(s): (a) (5
j - 10) years; (b) 3 years
