Andy is 32 years older than his son. 4 years from now, his son will be
13 of his age while his daughter will be
12 of his son. Express his daughter’s present age as a fraction of Andy's present age. Leave your answer in its simplest form.
| |
Andy |
Andy's son |
Andy's daughter |
Difference between
Andy and Andy's son |
| Before |
6 u - 4 |
2 u - 4 |
1 u - 4 |
32 |
| Change |
+ 4 |
+ 4 |
+ 4 |
|
After
|
3x2 |
1x2 |
|
|
| |
2x1 |
1x1 |
|
Comparing Andy, his son and his daughter
in the end |
6 u |
2 u |
1 u |
4 u |
The repeated identity is the age of Andy's son. LCM of 1 and 2 is 2.
The difference in age between Andy and Andy's son remains unchanged.
Difference in age between Andy and Andy's son
= 6 u - 2 u
= 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
His daughter's present age
= 1 u - 4
= 1 x 8 - 4
= 8 - 4
= 4
Andy's present age
= 6 u - 4
= 6 x 8 - 4
= 48 - 4
= 44
His daughter's present age as a fraction of Andy's present age
=
444=
111 Answer(s):
111 
