Ian is
w years old. John is six times as old as Ian and Michael is 14 years younger than John.
- Express Michael's age in terms of w.
- Ian is 10 years old as of now. ln how many years' time will Michael be 3 times as old as Ian?
(a)
Ian's age =
w years
John's age = 6
w years
Michael's age = (6
w - 14) years
(b)
w = 10
Difference in age remains unchanged.
Difference in age between Michael and Ian
= (6
w - 14) -
w = 6
w -
w - 14
= 5
w - 14
= 5 x 10 - 14
= 36 years
Difference in the age when Michael will be 3 times as old as Ian
= 3 u - 1 u
= 2 u
2 u = 36
1 u = 36 ÷ 2 = 18
Number of years' time so Michael will be 3 times as old as Ian
= 18 - 10
= 8 years
Answer(s): (a) (6
w - 14) years; (b) 8 years
