Carl is 30 years older than his niece. 7 years from now, his niece will be
13 of his age while his daughter will be
35 of his niece. Express his daughter’s present age as a fraction of Carl's present age. Leave your answer in its simplest form.
| |
Carl |
Carl's niece |
Carl's daughter |
Difference between
Carl and Carl's niece |
| Before |
15 u - 7 |
5 u - 7 |
3 u - 7 |
30 |
| Change |
+ 7 |
+ 7 |
+ 7 |
|
After
|
3x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Carl, his niece and his daughter
in the end |
15 u |
5 u |
3 u |
10 u |
The repeated identity is the age of Carl's niece. LCM of 1 and 5 is 5.
The difference in age between Carl and Carl's niece remains unchanged.
Difference in age between Carl and Carl's niece
= 15 u - 5 u
= 10 u
10 u = 30
1 u = 30 ÷ 10 = 3
His daughter's present age
= 3 u - 7
= 3 x 3 - 7
= 9 - 7
= 2
Carl's present age
= 15 u - 7
= 15 x 3 - 7
= 45 - 7
= 38
His daughter's present age as a fraction of Carl's present age
=
238=
119 Answer(s):
119 
