Julian is 30 years older than his son. 9 years from now, his son will be
12 of his age while his niece will be
35 of his son. Express his niece’s present age as a fraction of Julian's present age. Leave your answer in its simplest form.
| |
Julian |
Julian's son |
Julian's niece |
Difference between
Julian and Julian's son |
| Before |
10 u - 9 |
5 u - 9 |
3 u - 9 |
30 |
| Change |
+ 9 |
+ 9 |
+ 9 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Julian, his son and his niece
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Julian's son. LCM of 1 and 5 is 5.
The difference in age between Julian and Julian's son remains unchanged.
Difference in age between Julian and Julian's son
= 10 u - 5 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
His niece's present age
= 3 u - 9
= 3 x 6 - 9
= 18 - 9
= 9
Julian's present age
= 10 u - 9
= 10 x 6 - 9
= 60 - 9
= 51
His niece's present age as a fraction of Julian's present age
=
951=
317 Answer(s):
317 
