ǯ
褯ɤޤĿ᤿ꡢʬҤ10̤ʬ1̤ʬޤ᤿ꡢ
轵˰³ƽbasicǡ
LET x=1
FOR a=1 TO 9
FOR b=1 TO 9
FOR c=1 TO 9
LET d=(10*a+c)/(10*c+b)
LET e=a/b
IF d=e THEN LET x=x*d
NEXT C
NEXT B
NEXT A
PRINT x
END
̤0.01

125ڡ 1:03:50 46949
٥륯åĥ
1ΤȤ9ΤȤޤǡ10ܤ礭20̤ϰϤˤĤĴ٤ơפƥФƱΨˤʤΤõޤ
ǽ16/6426/6595/191/50ȤƤޤޤΨܤǤʤƤ⤤Ȥ˵Ť49/981/100Ȥʤޤ
11/11Τ褦˱ƶΤʤ1ˤʤˤΤ̵ǡ

λ򶵤ƤȤˡ19/95ʤɤǤ虜Ȥʬ򤷤ƸȤޤҶȿ򤫤äɡǤҰʳˤȺ𤷤ƤޤΤǡʤ̵ۤ񤫤Ȼפäꡣ
125ڡ 1:05:57 46950
Ȥ
XMaxima
=a,,=b,=cȤ

j:1$for a:1 thru 9 do
for b:1 thru 9 do
for c:1 thru 9 do (if a/c=(10*a+b)/(10*b+c) then j:j*(10*a+b)/(10*b+c))$j;

enterơ1/100()
˭ԡ 125ڡ 1:59:59 MAIL:fttnm528@ybb.ne.jp 46951
ˤ
ab/bc=a/c10a((c-b)=c(a-b)Ȥ
|a-b|5ΤȤc=5(a,b,c)=(1,9,5),(2,6,5),(5,5,5)
|a-b|=5(a,b,c)=(1,6,4),(4,9,8)Ȥޤ
ޤ
Ķļˡ 125ڡ 6:56:51 46952
ֿء׾ι
ᤴޤʡ
񤭽Фޤ§Ϥޤʬ餺ʡ
125ڡ 7:34:50 46953
ǯ
#46952ˤ󤵤Ʊˤʤޤ
äȿؤäݤǤaiuɽ
(10a+i)/(10i+u)=a/u=11a/11u
դʬʬҤ鱦դʬʬҤơ(i-a)/{10(i-u)}=a/u
i=a뤤i=uξϡ1/1ˤʤΤǡѤͤѤʤΤiaiuϰۤʤȤƤ
κդʬʤ͡ˤ10ʾ塢ʬҡʤͤ10ʲʤΤǡa<u
κա1ʢa<uˤʤΤǡa<iޤu<iȤʤ롣
ꡢu(i-a)=10a(i-u) u(i-a)192Ĥݤ10ܿʤΤǡ10,20,30,40Τ줫ϡa(i-u)1,2,3,4Τ줫
ȹ碌ϡ
a(i-u)=1λ¨(a,i-u)=(1,1)λ(u, i-a)=(2,5),(5,2)
a(i-u)=2λ¨(a,i-u)=(1,2),(2,1)λ(u, i-a)=(4,5),(5,4)
a(i-u)=3λ¨(a,i-u)=(1,3),(3,1)λ(u, i-a)=(5,6),(6,5)
a(i-u)=4λ¨(a,i-u)=(1,4),(2,2),(4,1)λ(u, i-a)=(5,8),(8,5)
16ĤĴ٤ƾ˹礦 (i-u)-(i-a)=a-u˾η̤ݤȡ0.01

125ڡ 12:54:57 46954
ϥ饮ݥƥ
ץǤ

ְ㤨ޤ
125ڡ 10:44:08 HomePage:湩ؤ˥46955
Ѥ
ʣ£ӣɣäĴ٤ޤ
Ū˽פĤޤǤȥۥ
125ڡ 16:33:53 46956
ϺĹ
Ф
ǤβʤΤᡢᤷϤäīǤȴǤ顢Ҥ̾˺ƤΤ˵դषʤ᤯ʤ㤤ʤʤäǶᤳʤ¿
Ϥ16/6419/95ǧڤʤ
äƤ򤱤ʤϫ˶ϫŤͤƷɤˤ󤵤Ʊͤ˵ޤäꤷʤΤǤ͡
125ڡ 22:55:39 46957
DSK24
ˡ§뤵Ϥڤޤ
126ʶ 11:55:27 46958
DSK24
ˡ§뤵Ϥڤޤ
126ʶ 13:06:47 46959
Ϸ
դ顡ʣߥܥˡʣߥܥˡᥢ
աݱաᣰǤ
򥨥ϤDz򤭤ޤ
θ弡βͤޤ
ǽμѷ
ʣߥݥˡʥߥˡ᣹Ȥʤޤ
ˣ飹ޤǤ򤽤줾ƤϤ
Ȥƣ

դʬ򣲤Ȥʬ줬ˤʤʤʡߡ
Ʊʬ򣴤ˤХᣱᣴʬ줬ˤʤ
ޤʬ򣱣ˤХᣲᣵʬ줬ˤʤ
ΣϺաᱦդȤʤ
Τ褦˸̤˸ڤˡ⤫ӤޤǤ
¾ˡϤʤǤ礦
127ڡ 11:25:25 MAIL:takaaki-k@aqr.bbiq.jp 46960
٥륯åĥ
ñʤϻפĤޤǤ˽񤤤褦˥ϥ11ܤ19ܤϰϡ⥦ξǥ19ޤǡʤΨˤ񤭽ФΨƱΤõǤä顢ۤɿĴ٤˺Ѥߤޤ
ʤߤ˺ǽϤפĤ⸡ƤƤߤɤޤݤʤΤǺޤƤäٷƤƤȡ޷ʳǤʶϫΤϵפ֤ʵޤ
128 16:02:36 46961
ˤ⡼
Ф
ֹαɤǡФ䤨
⳱ǵ뤳Ȥ⤷ФС
üơ¿ɤʤäƤޤ
Ǥϼޤ餺ˤǤϾҥäƤʤ԰¡
ʢڻȤǥåѥåˤʤĤĤޤ

ơʸDz򤭤ޤ¼ƻʿ夲˽ޤ
ɤäƣʬФΤǤ礦

Υabc ɽ1a,b,c9
a=b=cΤȤ׻̤ʬ(1/1)=1Ȥʤ뤿ᡢ
a=b=cʳΤȤͤƤ˱ƶϤʤ

(10a+b)/(10b+c)=a/c ѷ c(9a+b)=10ab ĭ

դ10ܿʤΤǡ
(i)c=5 (9a+b)=(ii)c=(9a+b)=5ܿ줫ˤʤ롣

(i)ξ硢c=5ꡢ(9a+b)=2ab ѷơb=9a/(2a-1)
ˤƤϤޤa,b,c=(1,9,5) ΤȤʬϡ19/951/5ĭ

(i)ξ硡(9a+b)=5ܿȤʤȤ߹碌
(a,b)=(1,1)(1,6)(2,2)(2,7)(3,3)(3,8)ġ(8,3)(8,8)(9,4)(9,9)
Ȥ߹碌Τ(a,b,c)=(1,6,4)(4,9,8)(2,6,5)
ΤȤʬϤ줾졡16/64=1/4 49/98=1/2 26/65=2/5 ĭ

ꡡ1/51/41/22/5ѡ1/100ʾ

Ȥ⡢οؤ˽ФƤ´̵Ǥ
ޤǤ

128 22:32:18 46962

뤵ȤˡפĤϫޤ
ʣܣˡʣܣˡ㡿Ȥ
ʣݣˤDZդܿǤ뤳ȤѤƾʬ򤷤ơ
᣹ΤȤʣᡤˡʣˡʣˡʣ
᣶ΤȤʣᡤˡʣˡʣˡʣ
ᣳΤȤʣᡤˡʣ
ϣܿǤʤȤݣ㤬ܿʤΤǣᣱ

äѤˤʤΤơʣλˡĤޤ
ˤ󤵤󤿤Τ褦ˣܿݤʬᤤ狼䤹Ǥ͡

Ϻꡡ 128 22:35:19 46963
Mr.ǥ
ǽŪˤϡʤ̻Τ褦ˡ缡ƤϤƤСΤǤȡפĤ
ˡ§ϤʤΤȹͤʤǴäƤΤǤĤˤ
ĥƤϤƵޤ
ʥν˿ƤϤޤ
128 22:42:32 46964
ޤ
ν꤬ˤʤäǴ֤˹礤ޤ(^^;

⡢ν˿ƤϤޤ
夷Ƥ٤ΤȤǸڤʤƤ
26/65򽦤Ƥ餺ʤʤˤɤ失ޤǤorz

Ϣγͤ⤴ϫƤơ֥쥬ȡפʲϽФƤʤ褦Ǥ͡
ޥ뤵פǡäȶäˡǤƤΤʡ

somewhere in the world 21ڡ 9:55:51 46965
J
򤽤줾abcɽȡ10a(b-c)=c(b-a)
դ10Τǡդ10ܿ1Τ
äơǤ40aϺǤ4
cb-a5ʤΤǡc=5ΤȤb-a=5λǾʬ
b-a=-5a<=4ʤΤǹͤʤƤ褤
26ʲС 10:59:27 46966
ޤ
#46966 J
ʤۤɡ#46954 Ԥ #46952 ˤ ޤˤ
åפ줤ޤ͡ orz

ʻŪˤϡɤäƲ򤯤Ǥ礦͡ġ
ʤϤꡢʤ̻ȤƥߤĤ֤

somewhere in the world 27ʿ 12:37:27 46967