Neave is
b years old. Fred is six times as old as Neave and Michael is 14 years younger than Fred.
- Express Michael's age in terms of b.
- Neave is 10 years old as of now. ln how many years' time will Michael be 4 times as old as Neave?
(a)
Neave's age =
b years
Fred's age = 6
b years
Michael's age = (6
b - 14) years
(b)
b = 10
Difference in age remains unchanged.
Difference in age between Michael and Neave
= (6
b - 14) -
b = 6
b -
b - 14
= 5
b - 14
= 5 x 10 - 14
= 36 years
Difference in the age when Michael will be 4 times as old as Neave
= 4 u - 1 u
= 3 u
3 u = 36
1 u = 36 ÷ 3 = 12
Number of years' time so Michael will be 4 times as old as Neave
= 12 - 10
= 2 years
Answer(s): (a) (6
b - 14) years; (b) 2 years
