Andy is 30 years older than his nephew. 3 years from now, his nephew will be
12 of his age while his niece will be
35 of his nephew. Express his niece’s present age as a fraction of Andy's present age. Leave your answer in its simplest form.
| |
Andy |
Andy's nephew |
Andy's niece |
Difference between
Andy and Andy's nephew |
| Before |
10 u - 3 |
5 u - 3 |
3 u - 3 |
30 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Andy, his nephew and his niece
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Andy's nephew. LCM of 1 and 5 is 5.
The difference in age between Andy and Andy's nephew remains unchanged.
Difference in age between Andy and Andy's nephew
= 10 u - 5 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
His niece's present age
= 3 u - 3
= 3 x 6 - 3
= 18 - 3
= 15
Andy's present age
= 10 u - 3
= 10 x 6 - 3
= 60 - 3
= 57
His niece's present age as a fraction of Andy's present age
=
1557=
519 Answer(s):
519 
