Charlie is 40 years older than his daughter. 12 years from now, his daughter will be
12 of his age while his son will be
35 of his daughter. Express his son’s present age as a fraction of Charlie's present age. Leave your answer in its simplest form.
|
Charlie |
Charlie's daughter |
Charlie's son |
Difference between Charlie and Charlie's daughter |
Before |
10 u - 12 |
5 u - 12 |
3 u - 12 |
40 |
Change |
+ 12 |
+ 12 |
+ 12 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
3x1 |
|
Comparing Charlie, his daughter and his son in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Charlie's daughter. LCM of 1 and 5 is 5.
The difference in age between Charlie and Charlie's daughter remains unchanged.
Difference in age between Charlie and Charlie's daughter
= 10 u - 5 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
His son's present age
= 3 u - 12
= 3 x 8 - 12
= 24 - 12
= 12
Charlie's present age
= 10 u - 12
= 10 x 8 - 12
= 80 - 12
= 68
His son's present age as a fraction of Charlie's present age
=
1268=
317 Answer(s):
317