Ethan is 25 years older than his daughter. 5 years from now, his daughter will be
12 of his age while his son will be
25 of his daughter. Express his son’s present age as a fraction of Ethan's present age. Leave your answer in its simplest form.
|
Ethan |
Ethan's daughter |
Ethan's son |
Difference between Ethan and Ethan's daughter |
Before |
10 u - 5 |
5 u - 5 |
2 u - 5 |
25 |
Change |
+ 5 |
+ 5 |
+ 5 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
2x1 |
|
Comparing Ethan, his daughter and his son in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Ethan's daughter. LCM of 1 and 5 is 5.
The difference in age between Ethan and Ethan's daughter remains unchanged.
Difference in age between Ethan and Ethan's daughter
= 10 u - 5 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
His son's present age
= 2 u - 5
= 2 x 5 - 5
= 10 - 5
= 5
Ethan's present age
= 10 u - 5
= 10 x 5 - 5
= 50 - 5
= 45
His son's present age as a fraction of Ethan's present age
=
545=
19 Answer(s):
19