Daniel is 40 years older than his son. 12 years from now, his son will be
12 of his age while his cousin will be
25 of his son. Express his cousin’s present age as a fraction of Daniel's present age. Leave your answer in its simplest form.
|
Daniel |
Daniel's son |
Daniel's cousin |
Difference between Daniel and Daniel's son |
Before |
10 u - 12 |
5 u - 12 |
2 u - 12 |
40 |
Change |
+ 12 |
+ 12 |
+ 12 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
2x1 |
|
Comparing Daniel, his son and his cousin in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Daniel's son. LCM of 1 and 5 is 5.
The difference in age between Daniel and Daniel's son remains unchanged.
Difference in age between Daniel and Daniel's son
= 10 u - 5 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
His cousin's present age
= 2 u - 12
= 2 x 8 - 12
= 16 - 12
= 4
Daniel's present age
= 10 u - 12
= 10 x 8 - 12
= 80 - 12
= 68
His cousin's present age as a fraction of Daniel's present age
=
468=
117 Answer(s):
117