Andy is
s years old. Tom is five times as old as Andy and Jack is 4 years younger than Tom.
- Express Jack's age in terms of s.
- Andy is 8 years old as of now. ln how many years' time will Jack be 3 times as old as Andy?
(a)
Andy's age =
s years
Tom's age = 5
s years
Jack's age = (5
s - 4) years
(b)
s = 8
Difference in age remains unchanged.
Difference in age between Jack and Andy
= (5
s - 4) -
s = 5
s -
s - 4
= 4
s - 4
= 4 x 8 - 4
= 28 years
Difference in the age when Jack will be 3 times as old as Andy
= 3 u - 1 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Number of years' time so Jack will be 3 times as old as Andy
= 14 - 8
= 6 years
Answer(s): (a) (5
s - 4) years; (b) 6 years
