Andy is
w years old. Billy is five times as old as Andy and Tommy is 6 years younger than Billy.
- Express Tommy's age in terms of w.
- Andy is 5 years old as of now. ln how many years' time will Tommy be 3 times as old as Andy?
(a)
Andy's age =
w years
Billy's age = 5
w years
Tommy's age = (5
w - 6) years
(b)
w = 5
Difference in age remains unchanged.
Difference in age between Tommy and Andy
= (5
w - 6) -
w = 5
w -
w - 6
= 4
w - 6
= 4 x 5 - 6
= 14 years
Difference in the age when Tommy will be 3 times as old as Andy
= 3 u - 1 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of years' time so Tommy will be 3 times as old as Andy
= 7 - 5
= 2 years
Answer(s): (a) (5
w - 6) years; (b) 2 years
