Wesley is 20 years older than his child. 2 years from now, his child will be
12 of his age while his son will be
25 of his child. Express his son’s present age as a fraction of Wesley's present age. Leave your answer in its simplest form.
| |
Wesley |
Wesley's child |
Wesley's son |
Difference between
Wesley and Wesley's child |
| Before |
10 u - 2 |
5 u - 2 |
2 u - 2 |
20 |
| Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
2x1 |
|
Comparing Wesley, his child and his son
in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Wesley's child. LCM of 1 and 5 is 5.
The difference in age between Wesley and Wesley's child remains unchanged.
Difference in age between Wesley and Wesley's child
= 10 u - 5 u
= 5 u
5 u = 20
1 u = 20 ÷ 5 = 4
His son's present age
= 2 u - 2
= 2 x 4 - 2
= 8 - 2
= 6
Wesley's present age
= 10 u - 2
= 10 x 4 - 2
= 40 - 2
= 38
His son's present age as a fraction of Wesley's present age
=
638=
319 Answer(s):
319 
