Ivan is 24 years older than his niece. 3 years from now, his niece will be
12 of his age while his daughter will be
13 of his niece. Express his daughter’s present age as a fraction of Ivan's present age. Leave your answer in its simplest form.
| |
Ivan |
Ivan's niece |
Ivan's daughter |
Difference between
Ivan and Ivan's niece |
| Before |
6 u - 3 |
3 u - 3 |
1 u - 3 |
24 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
2x3 |
1x3 |
|
|
| |
3x1 |
1x1 |
|
Comparing Ivan, his niece and his daughter
in the end |
6 u |
3 u |
1 u |
3 u |
The repeated identity is the age of Ivan's niece. LCM of 1 and 3 is 3.
The difference in age between Ivan and Ivan's niece remains unchanged.
Difference in age between Ivan and Ivan's niece
= 6 u - 3 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
His daughter's present age
= 1 u - 3
= 1 x 8 - 3
= 8 - 3
= 5
Ivan's present age
= 6 u - 3
= 6 x 8 - 3
= 48 - 3
= 45
His daughter's present age as a fraction of Ivan's present age
=
545=
19 Answer(s):
19 
