Zeph is 32 years older than his daughter. 8 years from now, his daughter will be
12 of his age while his niece will be
38 of his daughter. Express his niece’s present age as a fraction of Zeph's present age. Leave your answer in its simplest form.
|
Zeph |
Zeph's daughter |
Zeph's niece |
Difference between Zeph and Zeph's daughter |
Before |
16 u - 8 |
8 u - 8 |
3 u - 8 |
32 |
Change |
+ 8 |
+ 8 |
+ 8 |
|
After
|
2x8 |
1x8 |
|
|
|
8x1 |
3x1 |
|
Comparing Zeph, his daughter and his niece in the end |
16 u |
8 u |
3 u |
8 u |
The repeated identity is the age of Zeph's daughter. LCM of 1 and 8 is 8.
The difference in age between Zeph and Zeph's daughter remains unchanged.
Difference in age between Zeph and Zeph's daughter
= 16 u - 8 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
His niece's present age
= 3 u - 8
= 3 x 4 - 8
= 12 - 8
= 4
Zeph's present age
= 16 u - 8
= 16 x 4 - 8
= 64 - 8
= 56
His niece's present age as a fraction of Zeph's present age
=
456=
114 Answer(s):
114