Owen is 24 years older than his child. 4 years from now, his child will be
13 of his age while his son will be
12 of his child. Express his son’s present age as a fraction of Owen's present age. Leave your answer in its simplest form.
| |
Owen |
Owen's child |
Owen's son |
Difference between
Owen and Owen's child |
| Before |
6 u - 4 |
2 u - 4 |
1 u - 4 |
24 |
| Change |
+ 4 |
+ 4 |
+ 4 |
|
After
|
3x2 |
1x2 |
|
|
| |
2x1 |
1x1 |
|
Comparing Owen, his child and his son
in the end |
6 u |
2 u |
1 u |
4 u |
The repeated identity is the age of Owen's child. LCM of 1 and 2 is 2.
The difference in age between Owen and Owen's child remains unchanged.
Difference in age between Owen and Owen's child
= 6 u - 2 u
= 4 u
4 u = 24
1 u = 24 ÷ 4 = 6
His son's present age
= 1 u - 4
= 1 x 6 - 4
= 6 - 4
= 2
Owen's present age
= 6 u - 4
= 6 x 6 - 4
= 36 - 4
= 32
His son's present age as a fraction of Owen's present age
=
232=
116 Answer(s):
116 
