Maths Problems

TAJUK: Sayyidina Ali and some Maths Problems

Sayyidina Ali (as) while he was a Khalifa was known
for his mathematical genius. One Day a person came
to him, thinking that since Ali thinks he is too
smart, I'll ask him such a tough question that he
won't be able to answer it and I'll have the chance
to embarrass him in front of all the Arabs.
He asked "Ali, tell me a number, that if we divide
it by any number from 1-10 the answer will always
come in the form of a whole number and not as a
fraction." Ali Looked back at him and said, "Take
the number of days in a year and multiply it with
the number of days in a week and you will have your
answer."
The person got astonished but as he was a Mushrik he
still didn't believe Ali. He calculated the answer
Ali gave him. To his amazement he came across the
following results:
The number of Days in a Year = 360 (in Arabic
Calendar)
The Number of Days in a Week = 7
The product of the two numbers = 2520
Now...
2520
÷ 1 == 2520
2520 ÷ 2 == 1260
2520 ÷ 3 == 840
2520 ÷ 4 == 630
2520 ÷ 5 == 504
2520 ÷ 6 == 420
2520 ÷ 7 == 360
2520 ÷ 8 == 315
2520 ÷ 9 == 280
2520 ÷ 10== 252
In another occasion...
A person was about to die, and before dying he wrote
his Will which went as follows...
"I have 17 Camels, and I have three sons. Divide my
Camels in such a way, that My eldest son gets half
of them, the second one gets 1/3rd of the total and
my youngest son gets 1/9th of the total number of
Camels"
After his death when the relatives read his will
they got extremely perplexed and said to each other
that how can we divide 17 camels like this.
So after a long hard thought they decided that there
was only one man in Arabia who could help them: Ali
Ibne Abi Taalib.
So they all came to the door of Ali and put forward
their problem.
Ali said, "Ok. I will divide the camels as per the
man's will. I will lend one of my camels to the
total which makes it 18 (17+1), now lets divide as
per his will"

The Eldest gets 1/2 of 18 == 9
The second one gets 1/3 of 18 == 6
and The Youngest gets 1/9 of 18 == 2
Now the total numbers of camels == 17
Then Ali said, "Now I will take my Camel back"