Valen is 25 years older than his nephew. 8 years from now, his nephew will be
12 of his age while his son will be
35 of his nephew. Express his son’s present age as a fraction of Valen's present age. Leave your answer in its simplest form.
| |
Valen |
Valen's nephew |
Valen's son |
Difference between
Valen and Valen's nephew |
| Before |
10 u - 8 |
5 u - 8 |
3 u - 8 |
25 |
| Change |
+ 8 |
+ 8 |
+ 8 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Valen, his nephew and his son
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Valen's nephew. LCM of 1 and 5 is 5.
The difference in age between Valen and Valen's nephew remains unchanged.
Difference in age between Valen and Valen's nephew
= 10 u - 5 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
His son's present age
= 3 u - 8
= 3 x 5 - 8
= 15 - 8
= 7
Valen's present age
= 10 u - 8
= 10 x 5 - 8
= 50 - 8
= 42
His son's present age as a fraction of Valen's present age
=
742=
16 Answer(s):
16 
