Mark is
c years old. Owen is six times as old as Mark and Daniel is 8 years younger than Owen.
- Express Daniel's age in terms of c.
- Mark is 10 years old as of now. ln how many years' time will Daniel be 4 times as old as Mark?
(a)
Mark's age =
c years
Owen's age = 6
c years
Daniel's age = (6
c - 8) years
(b)
c = 10
Difference in age remains unchanged.
Difference in age between Daniel and Mark
= (6
c - 8) -
c = 6
c -
c - 8
= 5
c - 8
= 5 x 10 - 8
= 42 years
Difference in the age when Daniel will be 4 times as old as Mark
= 4 u - 1 u
= 3 u
3 u = 42
1 u = 42 ÷ 3 = 14
Number of years' time so Daniel will be 4 times as old as Mark
= 14 - 10
= 4 years
Answer(s): (a) (6
c - 8) years; (b) 4 years