Ryan is 24 years older than his nephew. 4 years from now, his nephew will be
12 of his age while his son will be
13 of his nephew. Express his son’s present age as a fraction of Ryan's present age. Leave your answer in its simplest form.
| |
Ryan |
Ryan's nephew |
Ryan's son |
Difference between
Ryan and Ryan's nephew |
| Before |
6 u - 4 |
3 u - 4 |
1 u - 4 |
24 |
| Change |
+ 4 |
+ 4 |
+ 4 |
|
After
|
2x3 |
1x3 |
|
|
| |
3x1 |
1x1 |
|
Comparing Ryan, his nephew and his son
in the end |
6 u |
3 u |
1 u |
3 u |
The repeated identity is the age of Ryan's nephew. LCM of 1 and 3 is 3.
The difference in age between Ryan and Ryan's nephew remains unchanged.
Difference in age between Ryan and Ryan's nephew
= 6 u - 3 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
His son's present age
= 1 u - 4
= 1 x 8 - 4
= 8 - 4
= 4
Ryan's present age
= 6 u - 4
= 6 x 8 - 4
= 48 - 4
= 44
His son's present age as a fraction of Ryan's present age
=
444=
111 Answer(s):
111 
