Paul is 30 years older than his child. 6 years from now, his child will be
12 of his age while his nephew will be
25 of his child. Express his nephew’s present age as a fraction of Paul's present age. Leave your answer in its simplest form.
| |
Paul |
Paul's child |
Paul's nephew |
Difference between
Paul and Paul's child |
| Before |
10 u - 6 |
5 u - 6 |
2 u - 6 |
30 |
| Change |
+ 6 |
+ 6 |
+ 6 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
2x1 |
|
Comparing Paul, his child and his nephew
in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Paul's child. LCM of 1 and 5 is 5.
The difference in age between Paul and Paul's child remains unchanged.
Difference in age between Paul and Paul's child
= 10 u - 5 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
His nephew's present age
= 2 u - 6
= 2 x 6 - 6
= 12 - 6
= 6
Paul's present age
= 10 u - 6
= 10 x 6 - 6
= 60 - 6
= 54
His nephew's present age as a fraction of Paul's present age
=
654=
19 Answer(s):
19 
