Ahmad is 24 years older than his son. 6 years from now, his son will be
12 of his age while his niece will be
38 of his son. Express his niece’s present age as a fraction of Ahmad's present age. Leave your answer in its simplest form.
| |
Ahmad |
Ahmad's son |
Ahmad's niece |
Difference between
Ahmad and Ahmad's son |
| Before |
16 u - 6 |
8 u - 6 |
3 u - 6 |
24 |
| Change |
+ 6 |
+ 6 |
+ 6 |
|
After
|
2x8 |
1x8 |
|
|
| |
8x1 |
3x1 |
|
Comparing Ahmad, his son and his niece
in the end |
16 u |
8 u |
3 u |
8 u |
The repeated identity is the age of Ahmad's son. LCM of 1 and 8 is 8.
The difference in age between Ahmad and Ahmad's son remains unchanged.
Difference in age between Ahmad and Ahmad's son
= 16 u - 8 u
= 8 u
8 u = 24
1 u = 24 ÷ 8 = 3
His niece's present age
= 3 u - 6
= 3 x 3 - 6
= 9 - 6
= 3
Ahmad's present age
= 16 u - 6
= 16 x 3 - 6
= 48 - 6
= 42
His niece's present age as a fraction of Ahmad's present age
=
342=
114 Answer(s):
114 
