Ben is 32 years older than his nephew. 3 years from now, his nephew will be
13 of his age while his niece will be
38 of his nephew. Express his niece’s present age as a fraction of Ben's present age. Leave your answer in its simplest form.
| |
Ben |
Ben's nephew |
Ben's niece |
Difference between
Ben and Ben's nephew |
| Before |
24 u - 3 |
8 u - 3 |
3 u - 3 |
32 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
3x8 |
1x8 |
|
|
| |
8x1 |
3x1 |
|
Comparing Ben, his nephew and his niece
in the end |
24 u |
8 u |
3 u |
16 u |
The repeated identity is the age of Ben's nephew. LCM of 1 and 8 is 8.
The difference in age between Ben and Ben's nephew remains unchanged.
Difference in age between Ben and Ben's nephew
= 24 u - 8 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
His niece's present age
= 3 u - 3
= 3 x 2 - 3
= 6 - 3
= 3
Ben's present age
= 24 u - 3
= 24 x 2 - 3
= 48 - 3
= 45
His niece's present age as a fraction of Ben's present age
=
345=
115 Answer(s):
115 
