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標題: [IQ題] [數學題]100人搬100塊磚 [打印本頁]

作者: 1/5 時間: 2007-10-13 05:08 PM 標題: [數學題]100人搬100塊磚

100人搬100塊磚
規則5.39.217.76: t+ M; _0 i  w: G9 x) |
只何用100人搬100塊磚,不能多也不能小...tvb now,tvbnow,bttvb7 f5 `, y) E2 V, O' C  V
100人當中有男人、女人同細路仔
1個男人搬6塊磚
1女人搬3塊磚
2個細路仔搬1塊磚
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問搬100塊磚  a" G( L& C3 H) V, u6 x& l' y4 {
要幾多男人、女人同細路仔5.39.217.76# x, x% _& [! Y: w0 O: X

答案30號公佈
: f/ J, x; e, y$ g
[ 本帖最後由 1/5 於 2007-10-13 05:10 PM 編輯 ]

作者: twinsdragon 時間: 2007-10-13 05:40 PM

That is a very simple mathematics question.
Let x = Male, y = Female, z = Child
6x + 3y + z/2 = 100 Formula 1
x + y + z = 100 Formula 2: h6 E2 _1 p. E, T+ {
Simplify Formula 2 into z, we get z = 100 - x - y Formula 3
Sub Formula 3 into Formula 1, we get 6x + 3y + ( 100 - x - y )/2 = 100 Formula 42 _+ O+ \! M% n! O1 |
Formula 4 can change into 11x + 5y = 100 Formula 5
In Formula 5, x can only be 0 - 9, otherwise y will be negative number which we dont want.4 H* X: I) ]; g( g4 W0 W% U( H
And between 0 and 9, only 0 can give me a single number of y. So, x has to be 0 and y have to be 20. Then put x and y back to formula 1, we get z = 80.- i4 Y! ~) N( y; U
Eventually, the answer is 20 female and 80 children and no male.

作者: alan1234 時間: 2007-10-14 12:19 AM 標題: two answers

man,female,children
0,20,80 or 5,9,86

作者: RyanC 時間: 2007-10-14 10:46 PM

原帖由 twinsdragon 於 2007-10-13 05:40 PM 發表
1 F6 Z$ _' ?4 `0 a公仔箱論壇11x + 5y = 100 Formula 5

11X must be 0 or multiple of 5
that meanz x must be 0 or 5

作者: manstein 時間: 2007-10-15 08:28 PM

86 children
5 male
9 female

作者: dafunhei123 時間: 2007-10-15 10:39 PM

数学问题，线性代数，我算算再说

作者: dafunhei123 時間: 2007-10-15 10:47 PM

4楼5楼的算对了。看来这里的人也很无聊，线性代数，大学的教材

作者: ghjleo 時間: 2007-10-17 04:23 PM

5,9,84

作者: leou2830 時間: 2007-10-20 10:21 AM

想知道耶

作者: 1/5 時間: 2007-10-30 01:02 AM

答案: 男人女人細路仔5.39.217.768 U! }# ]) r3 [+ T
5 9 86

作者: fristz 時間: 2007-12-6 10:09 PM

thx4sharing

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