Fred is 20 years older than his nephew. 8 years from now, his nephew will be
12 of his age while his child will be
35 of his nephew. Express his child’s present age as a fraction of Fred's present age. Leave your answer in its simplest form.
| |
Fred |
Fred's nephew |
Fred's child |
Difference between
Fred and Fred's nephew |
| Before |
10 u - 8 |
5 u - 8 |
3 u - 8 |
20 |
| Change |
+ 8 |
+ 8 |
+ 8 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Fred, his nephew and his child
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Fred's nephew. LCM of 1 and 5 is 5.
The difference in age between Fred and Fred's nephew remains unchanged.
Difference in age between Fred and Fred's nephew
= 10 u - 5 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
His child's present age
= 3 u - 8
= 3 x 4 - 8
= 12 - 8
= 4
Fred's present age
= 10 u - 8
= 10 x 4 - 8
= 40 - 8
= 32
His child's present age as a fraction of Fred's present age
=
432=
18 Answer(s):
18 
