Ahmad is
a years old. Jack is six times as old as Ahmad and Sam is 9 years younger than Jack.
- Express Sam's age in terms of a.
- Ahmad is 7 years old as of now. ln how many years' time will Sam be 3 times as old as Ahmad?
(a)
Ahmad's age =
a years
Jack's age = 6
a years
Sam's age = (6
a - 9) years
(b)
a = 7
Difference in age remains unchanged.
Difference in age between Sam and Ahmad
= (6
a - 9) -
a = 6
a -
a - 9
= 5
a - 9
= 5 x 7 - 9
= 26 years
Difference in the age when Sam will be 3 times as old as Ahmad
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time so Sam will be 3 times as old as Ahmad
= 13 - 7
= 6 years
Answer(s): (a) (6
a - 9) years; (b) 6 years
