Tom is 30 years older than his daughter. 6 years from now, his daughter will be
12 of his age while his cousin will be
35 of his daughter. Express his cousin’s present age as a fraction of Tom's present age. Leave your answer in its simplest form.
|
Tom |
Tom's daughter |
Tom's cousin |
Difference between Tom and Tom's daughter |
Before |
10 u - 6 |
5 u - 6 |
3 u - 6 |
30 |
Change |
+ 6 |
+ 6 |
+ 6 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
3x1 |
|
Comparing Tom, his daughter and his cousin in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Tom's daughter. LCM of 1 and 5 is 5.
The difference in age between Tom and Tom's daughter remains unchanged.
Difference in age between Tom and Tom's daughter
= 10 u - 5 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
His cousin's present age
= 3 u - 6
= 3 x 6 - 6
= 18 - 6
= 12
Tom's present age
= 10 u - 6
= 10 x 6 - 6
= 60 - 6
= 54
His cousin's present age as a fraction of Tom's present age
=
1254=
29 Answer(s):
29