Asher is 35 years older than his nephew. 7 years from now, his nephew will be
12 of his age while his niece will be
25 of his nephew. Express his niece’s present age as a fraction of Asher's present age. Leave your answer in its simplest form.
| |
Asher |
Asher's nephew |
Asher's niece |
Difference between
Asher and Asher's nephew |
| Before |
10 u - 7 |
5 u - 7 |
2 u - 7 |
35 |
| Change |
+ 7 |
+ 7 |
+ 7 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
2x1 |
|
Comparing Asher, his nephew and his niece
in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Asher's nephew. LCM of 1 and 5 is 5.
The difference in age between Asher and Asher's nephew remains unchanged.
Difference in age between Asher and Asher's nephew
= 10 u - 5 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
His niece's present age
= 2 u - 7
= 2 x 7 - 7
= 14 - 7
= 7
Asher's present age
= 10 u - 7
= 10 x 7 - 7
= 70 - 7
= 63
His niece's present age as a fraction of Asher's present age
=
763=
19 Answer(s):
19 
