Daniel is 24 years older than his daughter. 4 years from now, his daughter will be
12 of his age while his cousin will be
13 of his daughter. Express his cousin’s present age as a fraction of Daniel's present age. Leave your answer in its simplest form.
|
Daniel |
Daniel's daughter |
Daniel's cousin |
Difference between Daniel and Daniel's daughter |
Before |
6 u - 4 |
3 u - 4 |
1 u - 4 |
24 |
Change |
+ 4 |
+ 4 |
+ 4 |
|
After
|
2x3 |
1x3 |
|
|
|
3x1 |
1x1 |
|
Comparing Daniel, his daughter and his cousin in the end |
6 u |
3 u |
1 u |
3 u |
The repeated identity is the age of Daniel's daughter. LCM of 1 and 3 is 3.
The difference in age between Daniel and Daniel's daughter remains unchanged.
Difference in age between Daniel and Daniel's daughter
= 6 u - 3 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
His cousin's present age
= 1 u - 4
= 1 x 8 - 4
= 8 - 4
= 4
Daniel's present age
= 6 u - 4
= 6 x 8 - 4
= 48 - 4
= 44
His cousin's present age as a fraction of Daniel's present age
=
444=
111 Answer(s):
111