Cole is 28 years older than his niece. 3 years from now, his niece will be
13 of his age while his nephew will be
37 of his niece. Express his nephew’s present age as a fraction of Cole's present age. Leave your answer in its simplest form.
| |
Cole |
Cole's niece |
Cole's nephew |
Difference between
Cole and Cole's niece |
| Before |
21 u - 3 |
7 u - 3 |
3 u - 3 |
28 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
3x7 |
1x7 |
|
|
| |
7x1 |
3x1 |
|
Comparing Cole, his niece and his nephew
in the end |
21 u |
7 u |
3 u |
14 u |
The repeated identity is the age of Cole's niece. LCM of 1 and 7 is 7.
The difference in age between Cole and Cole's niece remains unchanged.
Difference in age between Cole and Cole's niece
= 21 u - 7 u
= 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
His nephew's present age
= 3 u - 3
= 3 x 2 - 3
= 6 - 3
= 3
Cole's present age
= 21 u - 3
= 21 x 2 - 3
= 42 - 3
= 39
His nephew's present age as a fraction of Cole's present age
=
339=
113 Answer(s):
113 
