Simon is 25 years older than his cousin. 6 years from now, his cousin will be
12 of his age while his child will be
25 of his cousin. Express his child’s present age as a fraction of Simon's present age. Leave your answer in its simplest form.
| |
Simon |
Simon's cousin |
Simon's child |
Difference between
Simon and Simon's cousin |
| Before |
10 u - 6 |
5 u - 6 |
2 u - 6 |
25 |
| Change |
+ 6 |
+ 6 |
+ 6 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
2x1 |
|
Comparing Simon, his cousin and his child
in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Simon's cousin. LCM of 1 and 5 is 5.
The difference in age between Simon and Simon's cousin remains unchanged.
Difference in age between Simon and Simon's cousin
= 10 u - 5 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
His child's present age
= 2 u - 6
= 2 x 5 - 6
= 10 - 6
= 4
Simon's present age
= 10 u - 6
= 10 x 5 - 6
= 50 - 6
= 44
His child's present age as a fraction of Simon's present age
=
444=
111 Answer(s):
111 
