Gabriel is 25 years older than his niece. 6 years from now, his niece will be
12 of his age while his daughter will be
25 of his niece. Express his daughter’s present age as a fraction of Gabriel's present age. Leave your answer in its simplest form.
|
Gabriel |
Gabriel's niece |
Gabriel's daughter |
Difference between Gabriel and Gabriel's niece |
Before |
10 u - 6 |
5 u - 6 |
2 u - 6 |
25 |
Change |
+ 6 |
+ 6 |
+ 6 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
2x1 |
|
Comparing Gabriel, his niece and his daughter in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Gabriel's niece. LCM of 1 and 5 is 5.
The difference in age between Gabriel and Gabriel's niece remains unchanged.
Difference in age between Gabriel and Gabriel's niece
= 10 u - 5 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
His daughter's present age
= 2 u - 6
= 2 x 5 - 6
= 10 - 6
= 4
Gabriel's present age
= 10 u - 6
= 10 x 5 - 6
= 50 - 6
= 44
His daughter's present age as a fraction of Gabriel's present age
=
444=
111 Answer(s):
111