Sam is 30 years older than his child. 11 years from now, his child will be
12 of his age while his cousin will be
35 of his child. Express his cousin’s present age as a fraction of Sam's present age. Leave your answer in its simplest form.
| |
Sam |
Sam's child |
Sam's cousin |
Difference between
Sam and Sam's child |
| Before |
10 u - 11 |
5 u - 11 |
3 u - 11 |
30 |
| Change |
+ 11 |
+ 11 |
+ 11 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Sam, his child and his cousin
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Sam's child. LCM of 1 and 5 is 5.
The difference in age between Sam and Sam's child remains unchanged.
Difference in age between Sam and Sam's child
= 10 u - 5 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
His cousin's present age
= 3 u - 11
= 3 x 6 - 11
= 18 - 11
= 7
Sam's present age
= 10 u - 11
= 10 x 6 - 11
= 60 - 11
= 49
His cousin's present age as a fraction of Sam's present age
=
749=
17 Answer(s):
17 
