Cody is 24 years older than his cousin. 3 years from now, his cousin will be
12 of his age while his child will be
38 of his cousin. Express his child’s present age as a fraction of Cody's present age. Leave your answer in its simplest form.
| |
Cody |
Cody's cousin |
Cody's child |
Difference between
Cody and Cody's cousin |
| Before |
16 u - 3 |
8 u - 3 |
3 u - 3 |
24 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
2x8 |
1x8 |
|
|
| |
8x1 |
3x1 |
|
Comparing Cody, his cousin and his child
in the end |
16 u |
8 u |
3 u |
8 u |
The repeated identity is the age of Cody's cousin. LCM of 1 and 8 is 8.
The difference in age between Cody and Cody's cousin remains unchanged.
Difference in age between Cody and Cody's cousin
= 16 u - 8 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
His child's present age
= 3 u - 3
= 3 x 3 - 3
= 9 - 3
= 6
Cody's present age
= 16 u - 3
= 16 x 3 - 3
= 48 - 3
= 45
His child's present age as a fraction of Cody's present age
=
645=
215 Answer(s):
215 
