Tim is 24 years older than his cousin. 2 years from now, his cousin will be
13 of his age while his nephew will be
13 of his cousin. Express his nephew’s present age as a fraction of Tim's present age. Leave your answer in its simplest form.
| |
Tim |
Tim's cousin |
Tim's nephew |
Difference between
Tim and Tim's cousin |
| Before |
9 u - 2 |
3 u - 2 |
1 u - 2 |
24 |
| Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
3x3 |
1x3 |
|
|
| |
3x1 |
1x1 |
|
Comparing Tim, his cousin and his nephew
in the end |
9 u |
3 u |
1 u |
6 u |
The repeated identity is the age of Tim's cousin. LCM of 1 and 3 is 3.
The difference in age between Tim and Tim's cousin remains unchanged.
Difference in age between Tim and Tim's cousin
= 9 u - 3 u
= 6 u
6 u = 24
1 u = 24 ÷ 6 = 4
His nephew's present age
= 1 u - 2
= 1 x 4 - 2
= 4 - 2
= 2
Tim's present age
= 9 u - 2
= 9 x 4 - 2
= 36 - 2
= 34
His nephew's present age as a fraction of Tim's present age
=
234=
117 Answer(s):
117 
