Tommy is 35 years older than his niece. 2 years from now, his niece will be
12 of his age while his nephew will be
25 of his niece. Express his nephew’s present age as a fraction of Tommy's present age. Leave your answer in its simplest form.
| |
Tommy |
Tommy's niece |
Tommy's nephew |
Difference between
Tommy and Tommy's niece |
| Before |
10 u - 2 |
5 u - 2 |
2 u - 2 |
35 |
| Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
2x1 |
|
Comparing Tommy, his niece and his nephew
in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Tommy's niece. LCM of 1 and 5 is 5.
The difference in age between Tommy and Tommy's niece remains unchanged.
Difference in age between Tommy and Tommy's niece
= 10 u - 5 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
His nephew's present age
= 2 u - 2
= 2 x 7 - 2
= 14 - 2
= 12
Tommy's present age
= 10 u - 2
= 10 x 7 - 2
= 70 - 2
= 68
His nephew's present age as a fraction of Tommy's present age
=
1268=
317 Answer(s):
317 
