Zane is 40 years older than his niece. 4 years from now, his niece will be
12 of his age while his daughter will be
35 of his niece. Express his daughter’s present age as a fraction of Zane's present age. Leave your answer in its simplest form.
| |
Zane |
Zane's niece |
Zane's daughter |
Difference between
Zane and Zane's niece |
| Before |
10 u - 4 |
5 u - 4 |
3 u - 4 |
40 |
| Change |
+ 4 |
+ 4 |
+ 4 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Zane, his niece and his daughter
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Zane's niece. LCM of 1 and 5 is 5.
The difference in age between Zane and Zane's niece remains unchanged.
Difference in age between Zane and Zane's niece
= 10 u - 5 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
His daughter's present age
= 3 u - 4
= 3 x 8 - 4
= 24 - 4
= 20
Zane's present age
= 10 u - 4
= 10 x 8 - 4
= 80 - 4
= 76
His daughter's present age as a fraction of Zane's present age
=
2076=
519 Answer(s):
519 
