Nick is 20 years older than his child. 3 years from now, his child will be
13 of his age while his niece will be
35 of his child. Express his niece’s present age as a fraction of Nick's present age. Leave your answer in its simplest form.
| |
Nick |
Nick's child |
Nick's niece |
Difference between
Nick and Nick's child |
| Before |
15 u - 3 |
5 u - 3 |
3 u - 3 |
20 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
3x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Nick, his child and his niece
in the end |
15 u |
5 u |
3 u |
10 u |
The repeated identity is the age of Nick's child. LCM of 1 and 5 is 5.
The difference in age between Nick and Nick's child remains unchanged.
Difference in age between Nick and Nick's child
= 15 u - 5 u
= 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
His niece's present age
= 3 u - 3
= 3 x 2 - 3
= 6 - 3
= 3
Nick's present age
= 15 u - 3
= 15 x 2 - 3
= 30 - 3
= 27
His niece's present age as a fraction of Nick's present age
=
327=
19 Answer(s):
19 
