Henry is 40 years older than his daughter. 12 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 Henry's present age. Leave your answer in its simplest form.
|
Henry |
Henry's daughter |
Henry's son |
Difference between Henry and Henry's daughter |
Before |
10 u - 12 |
5 u - 12 |
2 u - 12 |
40 |
Change |
+ 12 |
+ 12 |
+ 12 |
|
After
|
2x5 |
1x5 |
|
|
|
5x1 |
2x1 |
|
Comparing Henry, his daughter and his son in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Henry's daughter. LCM of 1 and 5 is 5.
The difference in age between Henry and Henry's daughter remains unchanged.
Difference in age between Henry and Henry's daughter
= 10 u - 5 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
His son's present age
= 2 u - 12
= 2 x 8 - 12
= 16 - 12
= 4
Henry's present age
= 10 u - 12
= 10 x 8 - 12
= 80 - 12
= 68
His son's present age as a fraction of Henry's present age
=
468=
117 Answer(s):
117