Neave is 20 years older than his niece. 2 years from now, his niece will be
13 of his age while his cousin will be
35 of his niece. Express his cousin’s present age as a fraction of Neave's present age. Leave your answer in its simplest form.
| |
Neave |
Neave's niece |
Neave's cousin |
Difference between
Neave and Neave's niece |
| Before |
15 u - 2 |
5 u - 2 |
3 u - 2 |
20 |
| Change |
+ 2 |
+ 2 |
+ 2 |
|
After
|
3x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Neave, his niece and his cousin
in the end |
15 u |
5 u |
3 u |
10 u |
The repeated identity is the age of Neave's niece. LCM of 1 and 5 is 5.
The difference in age between Neave and Neave's niece remains unchanged.
Difference in age between Neave and Neave's niece
= 15 u - 5 u
= 10 u
10 u = 20
1 u = 20 ÷ 10 = 2
His cousin's present age
= 3 u - 2
= 3 x 2 - 2
= 6 - 2
= 4
Neave's present age
= 15 u - 2
= 15 x 2 - 2
= 30 - 2
= 28
His cousin's present age as a fraction of Neave's present age
=
428=
17 Answer(s):
17 
