Andy is
p years old. Carl is six times as old as Andy and Tom is 9 years younger than Carl.
- Express Tom's age in terms of p.
- Andy is 9 years old as of now. ln how many years' time will Tom be 3 times as old as Andy?
(a)
Andy's age =
p years
Carl's age = 6
p years
Tom's age = (6
p - 9) years
(b)
p = 9
Difference in age remains unchanged.
Difference in age between Tom and Andy
= (6
p - 9) -
p = 6
p -
p - 9
= 5
p - 9
= 5 x 9 - 9
= 36 years
Difference in the age when Tom will be 3 times as old as Andy
= 3 u - 1 u
= 2 u
2 u = 36
1 u = 36 ÷ 2 = 18
Number of years' time so Tom will be 3 times as old as Andy
= 18 - 9
= 9 years
Answer(s): (a) (6
p - 9) years; (b) 9 years
