(1) What is the MAX # of pieces of Hambasha can you cut with
5 straight cuts?
(2) A car travels from point A to point B (a distance of one mile) at
30 miles per hour. How fast would the car have to travel from point B
to point C (also a distance of one mile) to average 60 miles per hour
for the entire trip?
A B C
|--------------|--------------|
1 mile 1 mile
BTW, A, B and C are places in down town Asmara. :-)
Good Luck
And here is how I would approach Negga's puzzle.
Number of quintals
1+2+3+....+8+9 = 45
to make it look a little bit fancy:-)
Number of quintals
1+2+3+4+...+8+9 :-) where :-) is smile! :-) ha ha
9+8+7+.....+2+1
----------------
10+10+......+10+10
(9*10)/2 = 45 quintals
-----------------------------------------------------
45 quintals/3 trader = 15 quintals to each of 'em
----------------------------------------------------
One of the three must possess camel #1, let's see what
would be an impossible combinations with camel#1.
Let x represent the camel which would be impossible to
be grouped with camel#1. To do so here is the Algebric
equation I would use: :-)
ie, 1 + 9 + x <= 15 ======>> x = 2, 3, 4 (AA)
and with camel #2
2 + 9 + x <= 15 =========> x = 3 (BB)
so from (AA) 2, 3, and 4 can not be grouped with 1
and from (BB) 3 can not be grouped with 2
hence combining (AA) and (BB) we get
3, 2 and 1 must be in different group.
----------------------------------------------------------------
----------------
now having left with | 4 5 6 | (table 1)
| 7 8 9 |
| |
----------------
1 + x + y = 15 ---> x+y = 14
the only two possible answers from table 1 above
for x and y is : 6+8
and
9+5
....
hence
1+6+8 2+4+9 3+5+7 and 1+5+9 2+6+7 3+4+8
Peace,
Ted
>
> **** To contact Dehai-Admin, send mail to: dehai@universe.digex.net ****
>
> Selam:)
> Thanks to all who responded to the puzzle. My memory
> had failed me on its algebraic solution but I'm very hopeful that
> Ghidewon
> will show us how. The best answer so far is from Simon who got two
> possible
> answers.
> Thanks again to all respondents and your k ind words. I hope u will use
> it
> for your younger ones.
>
> Negga
>
> ------------------------- Begin Original -------------------------
> Negga,
>
> Here are my answers to your quiz.
>
> 9factorial/3 = 15
>
> You can have two solution
>
> 1. 4+9+2, 3+5+7, 8+1+6
> 2. 4+3+8, 9+5+1, 2+7+6
>
> Keen to know how you have solved them.
>
> Simon
> ----------
> From: vivaeri@MEM.PO.COM
> To: ted_g@sanjose.vlsi.com
> Cc: dehai@primenet.com
> Subject: [DEHAI] ...founder of Algebra..
> Date: 20 March 1997 05:38
>
>
> **** To contact Dehai-Admin, send mail to: dehai@universe.digex.net ****
>
> Selam:)
> Long long time ago my mother asked me to solve a puzzle she knew
> as a child. I was in grade 8. I took the puzzle to the class and this
> outstanding
> Math teacher, Kifleyesu Adhanom ( killed in Massawa bombing) solved it
> algebraically and mother was amazed at the so called algebra.
> Here is the puzzle; enjoy.
>
> There were three merchants with 9 camels carrying quintals of salt. They
> made it to Kebesa to sell the salt; but they had to divide among
> themselves equally.
> The problem is camel number is carrying only one quintal, number 2 has
> only 2
> and the 3rd one only three and so on; that means number nine is
> carrying nine quintals.
> Could they possibly share the same number of camels and number of
> quintals?
> This puzzle is in honor of my deceased mom who taught me to be nothing
> but
> fair.
>
> Thanks you all and good luck.
>
> Negga
>
> ------------------------- Begin Original -------------------------
>
> **** To contact Dehai-Admin, send mail to: dehai@universe.digex.net ****
>
> ......It was during the end of the semester, our professor asked if we
> knew
> what the word "Alogorithm" stands for, a word which appredred so many
> times
> in our text books. (Big! class size 300+ students) .
> None of us knew .... Later, the prof told us ....
>
> Abu Abdullah Mohammad Ibn Musa al-Khawarizmi, 790-850 AD, Very little is
>
> known about his early life.
>
> Al-Khawarizmi ------> Algorizm ----->Algorithm
>
>
> Al-Khawarizmi was a mathematician, astronomer and geographer. He was
> perhaps one of the
> greatest mathematicians who ever lived, as, in fact, he was the FOUNDER
> of several
> branches and basic concepts of mathematics. In the words of Phillip
> Hitti, he
> influenced mathematical thought to a greater extent than any other
> mediaeval writer.
> His work on algebra was outstanding, as he not only initiated the
> subject in a systematic
> form but he also developed it to the extent of giving analytical
> solutions of linear and
> quadratic equations, which established him as the founder of Algebra.
> The very name Algebra
> has been derived from his famous book Al-Jabr wa-al-Muqabilah. His
> arithmetic synthesised
> Greek and Hindu knowledge and also contained his own contribution of
> fundamental
> importance to mathematics and science. Thus, he explained the use of
> zero, a numeral
> of fundamental importance developed by the Arabs. Similarly, he
> developed
> the decimal system so that the overall system of numerals, 'algorithm'
> or 'algorizm'
> is named after him.
>
> Peace,
> TG
>
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