Eric is 36 years older than his child. 3 years from now, his child will be
13 of his age while his daughter will be
12 of his child. Express his daughter’s present age as a fraction of Eric's present age. Leave your answer in its simplest form.
| |
Eric |
Eric's child |
Eric's daughter |
Difference between
Eric and Eric's child |
| Before |
6 u - 3 |
2 u - 3 |
1 u - 3 |
36 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
3x2 |
1x2 |
|
|
| |
2x1 |
1x1 |
|
Comparing Eric, his child and his daughter
in the end |
6 u |
2 u |
1 u |
4 u |
The repeated identity is the age of Eric's child. LCM of 1 and 2 is 2.
The difference in age between Eric and Eric's child remains unchanged.
Difference in age between Eric and Eric's child
= 6 u - 2 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
His daughter's present age
= 1 u - 3
= 1 x 9 - 3
= 9 - 3
= 6
Eric's present age
= 6 u - 3
= 6 x 9 - 3
= 54 - 3
= 51
His daughter's present age as a fraction of Eric's present age
=
651=
217 Answer(s):
217 
