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