Oliver is 20 years older than his cousin. 2 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 Oliver's present age. Leave your answer in its simplest form.
|
Oliver |
Oliver's cousin |
Oliver's nephew |
Difference between Oliver and Oliver's cousin |
Before |
4 u - 2 |
2 u - 2 |
1 u - 2 |
20 |
Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
2x2 |
1x2 |
|
|
|
2x1 |
1x1 |
|
Comparing Oliver, his cousin and his nephew in the end |
4 u |
2 u |
1 u |
2 u |
The repeated identity is the age of Oliver's cousin. LCM of 1 and 2 is 2.
The difference in age between Oliver and Oliver's cousin remains unchanged.
Difference in age between Oliver and Oliver's cousin
= 4 u - 2 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
His nephew's present age
= 1 u - 2
= 1 x 10 - 2
= 10 - 2
= 8
Oliver's present age
= 4 u - 2
= 4 x 10 - 2
= 40 - 2
= 38
His nephew's present age as a fraction of Oliver's present age
=
838=
419 Answer(s):
419