Will is 20 years older than his nephew. 6 years from now, his nephew will be
12 of his age while his daughter will be
35 of his nephew. Express his daughter’s present age as a fraction of Will's present age. Leave your answer in its simplest form.
|
Will |
Will's nephew |
Will's daughter |
Difference between Will and Will's nephew |
Before |
10 u - 6 |
5 u - 6 |
3 u - 6 |
20 |
Change |
+ 6 |
+ 6 |
+ 6 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
3x1 |
|
Comparing Will, his nephew and his daughter in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Will's nephew. LCM of 1 and 5 is 5.
The difference in age between Will and Will's nephew remains unchanged.
Difference in age between Will and Will's nephew
= 10 u - 5 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
His daughter's present age
= 3 u - 6
= 3 x 4 - 6
= 12 - 6
= 6
Will's present age
= 10 u - 6
= 10 x 4 - 6
= 40 - 6
= 34
His daughter's present age as a fraction of Will's present age
=
634=
317 Answer(s):
317