Ahmad is 35 years older than his niece. 7 years from now, his niece will be
12 of his age while his nephew will be
35 of his niece. Express his nephew’s present age as a fraction of Ahmad's present age. Leave your answer in its simplest form.
| |
Ahmad |
Ahmad's niece |
Ahmad's nephew |
Difference between
Ahmad and Ahmad's niece |
| Before |
10 u - 7 |
5 u - 7 |
3 u - 7 |
35 |
| Change |
+ 7 |
+ 7 |
+ 7 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Ahmad, his niece and his nephew
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Ahmad's niece. LCM of 1 and 5 is 5.
The difference in age between Ahmad and Ahmad's niece remains unchanged.
Difference in age between Ahmad and Ahmad's niece
= 10 u - 5 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
His nephew's present age
= 3 u - 7
= 3 x 7 - 7
= 21 - 7
= 14
Ahmad's present age
= 10 u - 7
= 10 x 7 - 7
= 70 - 7
= 63
His nephew's present age as a fraction of Ahmad's present age
=
1463=
29 Answer(s):
29 
