Vaidev is
a years old. Tommy is six times as old as Vaidev and Tom is 6 years younger than Tommy.
- Express Tom's age in terms of a.
- Vaidev is 10 years old as of now. ln how many years' time will Tom be 3 times as old as Vaidev?
(a)
Vaidev's age =
a years
Tommy's age = 6
a years
Tom's age = (6
a - 6) years
(b)
a = 10
Difference in age remains unchanged.
Difference in age between Tom and Vaidev
= (6
a - 6) -
a = 6
a -
a - 6
= 5
a - 6
= 5 x 10 - 6
= 44 years
Difference in the age when Tom will be 3 times as old as Vaidev
= 3 u - 1 u
= 2 u
2 u = 44
1 u = 44 ÷ 2 = 22
Number of years' time so Tom will be 3 times as old as Vaidev
= 22 - 10
= 12 years
Answer(s): (a) (6
a - 6) years; (b) 12 years
