Tom is 25 years older than his daughter. 5 years from now, his daughter will be
12 of his age while his child will be
35 of his daughter. Express his child’s present age as a fraction of Tom's present age. Leave your answer in its simplest form.
| |
Tom |
Tom's daughter |
Tom's child |
Difference between
Tom and Tom's daughter |
| Before |
10 u - 5 |
5 u - 5 |
3 u - 5 |
25 |
| Change |
+ 5 |
+ 5 |
+ 5 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Tom, his daughter and his child
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 = 25
1 u = 25 ÷ 5 = 5
His child's present age
= 3 u - 5
= 3 x 5 - 5
= 15 - 5
= 10
Tom's present age
= 10 u - 5
= 10 x 5 - 5
= 50 - 5
= 45
His child's present age as a fraction of Tom's present age
=
1045=
29 Answer(s):
29 
