Ken is 40 years older than his niece. 8 years from now, his niece will be
13 of his age while his nephew will be
35 of his niece. Express his nephew’s present age as a fraction of Ken's present age. Leave your answer in its simplest form.
| |
Ken |
Ken's niece |
Ken's nephew |
Difference between
Ken and Ken's niece |
| Before |
15 u - 8 |
5 u - 8 |
3 u - 8 |
40 |
| Change |
+ 8 |
+ 8 |
+ 8 |
|
After
|
3x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Ken, his niece and his nephew
in the end |
15 u |
5 u |
3 u |
10 u |
The repeated identity is the age of Ken's niece. LCM of 1 and 5 is 5.
The difference in age between Ken and Ken's niece remains unchanged.
Difference in age between Ken and Ken's niece
= 15 u - 5 u
= 10 u
10 u = 40
1 u = 40 ÷ 10 = 4
His nephew's present age
= 3 u - 8
= 3 x 4 - 8
= 12 - 8
= 4
Ken's present age
= 15 u - 8
= 15 x 4 - 8
= 60 - 8
= 52
His nephew's present age as a fraction of Ken's present age
=
452=
113 Answer(s):
113 
