Asher is 40 years older than his cousin. 4 years from now, his cousin will be
13 of his age while his nephew will be
25 of his cousin. Express his nephew’s present age as a fraction of Asher's present age. Leave your answer in its simplest form.
|
Asher |
Asher's cousin |
Asher's nephew |
Difference between Asher and Asher's cousin |
Before |
15 u - 4 |
5 u - 4 |
2 u - 4 |
40 |
Change |
+ 4 |
+ 4 |
+ 4 |
|
After
|
3x5 |
1x5 |
|
|
|
5x1 |
2x1 |
|
Comparing Asher, his cousin and his nephew in the end |
15 u |
5 u |
2 u |
10 u |
The repeated identity is the age of Asher's cousin. LCM of 1 and 5 is 5.
The difference in age between Asher and Asher's cousin remains unchanged.
Difference in age between Asher and Asher's cousin
= 15 u - 5 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
His nephew's present age
= 2 u - 4
= 2 x 4 - 4
= 8 - 4
= 4
Asher's present age
= 15 u - 4
= 15 x 4 - 4
= 60 - 4
= 56
His nephew's present age as a fraction of Asher's present age
=
456=
114 Answer(s):
114