Tommy is 36 years older than his niece. 3 years from now, his niece will be
13 of his age while his cousin will be
12 of his niece. Express his cousin’s present age as a fraction of Tommy's present age. Leave your answer in its simplest form.
| |
Tommy |
Tommy's niece |
Tommy's cousin |
Difference between
Tommy and Tommy's niece |
| Before |
6 u - 3 |
2 u - 3 |
1 u - 3 |
36 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
3x2 |
1x2 |
|
|
| |
2x1 |
1x1 |
|
Comparing Tommy, his niece and his cousin
in the end |
6 u |
2 u |
1 u |
4 u |
The repeated identity is the age of Tommy's niece. LCM of 1 and 2 is 2.
The difference in age between Tommy and Tommy's niece remains unchanged.
Difference in age between Tommy and Tommy's niece
= 6 u - 2 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
His cousin's present age
= 1 u - 3
= 1 x 9 - 3
= 9 - 3
= 6
Tommy's present age
= 6 u - 3
= 6 x 9 - 3
= 54 - 3
= 51
His cousin's present age as a fraction of Tommy's present age
=
651=
217 Answer(s):
217 
