Neave is
v years old. Michael is four times as old as Neave and Jack is 4 years younger than Michael.
- Express Jack's age in terms of v.
- Neave is 10 years old as of now. ln how many years' time will Jack be 3 times as old as Neave?
(a)
Neave's age =
v years
Michael's age = 4
v years
Jack's age = (4
v - 4) years
(b)
v = 10
Difference in age remains unchanged.
Difference in age between Jack and Neave
= (4
v - 4) -
v = 4
v -
v - 4
= 3
v - 4
= 3 x 10 - 4
= 26 years
Difference in the age when Jack will be 3 times as old as Neave
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time so Jack will be 3 times as old as Neave
= 13 - 10
= 3 years
Answer(s): (a) (4
v - 4) years; (b) 3 years