Neave is 30 years older than his child. 6 years from now, his child will be
12 of his age while his nephew will be
35 of his child. Express his nephew’s present age as a fraction of Neave's present age. Leave your answer in its simplest form.
| |
Neave |
Neave's child |
Neave's nephew |
Difference between
Neave and Neave's child |
| Before |
10 u - 6 |
5 u - 6 |
3 u - 6 |
30 |
| Change |
+ 6 |
+ 6 |
+ 6 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Neave, his child and his nephew
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Neave's child. LCM of 1 and 5 is 5.
The difference in age between Neave and Neave's child remains unchanged.
Difference in age between Neave and Neave's child
= 10 u - 5 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
His nephew's present age
= 3 u - 6
= 3 x 6 - 6
= 18 - 6
= 12
Neave's present age
= 10 u - 6
= 10 x 6 - 6
= 60 - 6
= 54
His nephew's present age as a fraction of Neave's present age
=
1254=
29 Answer(s):
29 
