Ahmad is 25 years older than his son. 10 years from now, his son will be
12 of his age while his cousin will be
35 of his son. Express his cousin’s present age as a fraction of Ahmad's present age. Leave your answer in its simplest form.
| |
Ahmad |
Ahmad's son |
Ahmad's cousin |
Difference between
Ahmad and Ahmad's son |
| Before |
10 u - 10 |
5 u - 10 |
3 u - 10 |
25 |
| Change |
+ 10 |
+ 10 |
+ 10 |
|
After
|
2x5 |
1x5 |
|
|
| |
5x1 |
3x1 |
|
Comparing Ahmad, his son and his cousin
in the end |
10 u |
5 u |
3 u |
5 u |
The repeated identity is the age of Ahmad's son. LCM of 1 and 5 is 5.
The difference in age between Ahmad and Ahmad's son remains unchanged.
Difference in age between Ahmad and Ahmad's son
= 10 u - 5 u
= 5 u
5 u = 25
1 u = 25 ÷ 5 = 5
His cousin's present age
= 3 u - 10
= 3 x 5 - 10
= 15 - 10
= 5
Ahmad's present age
= 10 u - 10
= 10 x 5 - 10
= 50 - 10
= 40
His cousin's present age as a fraction of Ahmad's present age
=
540=
18 Answer(s):
18 
