Ian is 25 years older than his child. 2 years from now, his child will be
12 of his age while his nephew will be
25 of his child. Express his nephew’s present age as a fraction of Ian's present age. Leave your answer in its simplest form.
| |
Ian |
Ian's child |
Ian's nephew |
Difference between
Ian and Ian's child |
| Before |
10 u - 2 |
5 u - 2 |
2 u - 2 |
25 |
| Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
2x1 |
|
Comparing Ian, his child and his nephew
in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Ian's child. LCM of 1 and 5 is 5.
The difference in age between Ian and Ian's child remains unchanged.
Difference in age between Ian and Ian's child
= 10 u - 5 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
His nephew's present age
= 2 u - 2
= 2 x 5 - 2
= 10 - 2
= 8
Ian's present age
= 10 u - 2
= 10 x 5 - 2
= 50 - 2
= 48
His nephew's present age as a fraction of Ian's present age
=
848=
16 Answer(s):
16 
