Eric is 20 years older than his cousin. 8 years from now, his cousin will be
12 of his age while his nephew will be
12 of his cousin. Express his nephew’s present age as a fraction of Eric's present age. Leave your answer in its simplest form.
| |
Eric |
Eric's cousin |
Eric's nephew |
Difference between
Eric and Eric's cousin |
| Before |
4 u - 8 |
2 u - 8 |
1 u - 8 |
20 |
| Change |
+ 8 |
+ 8 |
+ 8 |
|
After
|
2x2 |
1x2 |
|
|
| |
2x1 |
1x1 |
|
Comparing Eric, his cousin and his nephew
in the end |
4 u |
2 u |
1 u |
2 u |
The repeated identity is the age of Eric's cousin. LCM of 1 and 2 is 2.
The difference in age between Eric and Eric's cousin remains unchanged.
Difference in age between Eric and Eric's cousin
= 4 u - 2 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
His nephew's present age
= 1 u - 8
= 1 x 10 - 8
= 10 - 8
= 2
Eric's present age
= 4 u - 8
= 4 x 10 - 8
= 40 - 8
= 32
His nephew's present age as a fraction of Eric's present age
=
232=
116 Answer(s):
116 
