Simon is 40 years older than his niece. 8 years from now, his niece will be
12 of his age while his cousin will be
25 of his niece. Express his cousin’s present age as a fraction of Simon's present age. Leave your answer in its simplest form.
| |
Simon |
Simon's niece |
Simon's cousin |
Difference between
Simon and Simon's niece |
| Before |
10 u - 8 |
5 u - 8 |
2 u - 8 |
40 |
| Change |
+ 8 |
+ 8 |
+ 8 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
2x1 |
|
Comparing Simon, his niece and his cousin
in the end |
10 u |
5 u |
2 u |
5 u |
The repeated identity is the age of Simon's niece. LCM of 1 and 5 is 5.
The difference in age between Simon and Simon's niece remains unchanged.
Difference in age between Simon and Simon's niece
= 10 u - 5 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
His cousin's present age
= 2 u - 8
= 2 x 8 - 8
= 16 - 8
= 8
Simon's present age
= 10 u - 8
= 10 x 8 - 8
= 80 - 8
= 72
His cousin's present age as a fraction of Simon's present age
=
872=
19 Answer(s):
19 
