Glen is 30 years older than his nephew. 3 years from now, his nephew will be
13 of his age while his cousin will be
25 of his nephew. Express his cousin’s present age as a fraction of Glen's present age. Leave your answer in its simplest form.
| |
Glen |
Glen's nephew |
Glen's cousin |
Difference between
Glen and Glen's nephew |
| Before |
15 u - 3 |
5 u - 3 |
2 u - 3 |
30 |
| Change |
+ 3 |
+ 3 |
+ 3 |
|
After
|
3x5 |
1x5 |
|
|
| |
5x1 |
2x1 |
|
Comparing Glen, his nephew and his cousin
in the end |
15 u |
5 u |
2 u |
10 u |
The repeated identity is the age of Glen's nephew. LCM of 1 and 5 is 5.
The difference in age between Glen and Glen's nephew remains unchanged.
Difference in age between Glen and Glen's nephew
= 15 u - 5 u
= 10 u
10 u = 30
1 u = 30 ÷ 10 = 3
His cousin's present age
= 2 u - 3
= 2 x 3 - 3
= 6 - 3
= 3
Glen's present age
= 15 u - 3
= 15 x 3 - 3
= 45 - 3
= 42
His cousin's present age as a fraction of Glen's present age
=
342=
114 Answer(s):
114 
