有一个书架，分上中下三层，共放书384本，如果从上层取出中层一样的本数放入中层，再从中层取出与下层
\u4e00\u4e2a\u4e66\u67b6\u5206\u4e0a\u4e2d\u4e0b\u4e09\u5c42\uff0c\u4e00\u5171\u653e\u4e66384\u672c\u3002\u5982\u679c\u4ece\u4e0a\u5c42\u53d6\u51fa\u4e0e\u4e2d\u5c42\u4e00\u6837\u591a\u7684\u672c\u6570\u653e\u5165\u4e2d\u5c42\uff0c\u518d\u4ece\u4e2d\u5c42\u53d6\u51fa\u4e0e\u4e0b\u5c42\u8bbe\u4e0a\u4e2d\u4e0b\u5c42\u5206\u522b\u6709a b c \u672c
\u6700\u7ec8\u4e09\u5c42\u90fd\u4e3a384/3=128\u672c
\u7531\u9898\u53ef\u5f97
a-b+a-b=128
b+b-c=128
c+c-(a-b)=128
\u89e3\u5f97
a=176 b=112 c=96 \u6211\u6284\u697c\u4e3b\u7684...........................................................................................................................................................................................................................................................................................................................
\u697c\u4e0a\u5ffd\u7565\u4e86\u4e00\u4e2a\u6761\u4ef6\uff0c\u201c\u6700\u540e\u4ece\u4e0b\u5c42\u53d6\u51fa\u4e0e\u4e0a\u5c42\u73b0\u5728\u4e00\u6837\u591a\u7684\u672c\u6570\u653e\u5165\u4e0a\u5c42\u201d
\u6b63\u786e\u7684\u89e3\u7b54\u5e94\u662f\uff1a
\u8bbe\u539f\u6765\u7b2c\u4e00\u5c42\u6709a\u672c\uff0c\u7b2c\u4e8c\u5c42\u6709b\u672c\uff0c\u7b2c\u4e09\u5c42\u6709c\u672c\u3002
\u62ff\u4e66\u540e\uff1a\u6bcf\u5c42\u672c\u6570\uff1a384/3=128
\u2460\u7b2c\u4e00\u5c42\uff1aa-b +\uff08a-b \uff09 \uff1d128
\u2461\u7b2c\u4e8c\u5c42\uff1a2b-c=128
\u2462\u7b2c\u4e09\u5c42\uff1a2c-(a-b)=128
\u7531\u2460\u53ef\u5f97\uff0ca-b \uff1d64\uff0c\u4ee3\u5165\u5f0f\u2462\uff0c\u53ef\u5f97c\uff1d96\u3002
\u628ac\uff1d96\u4ee3\u5165\u5f0f\u2461\uff0c\u53ef\u5f97b=112\uff0c\u5373\u4e2d\u5c42\u539f\u6765\u6709\u4e66112\u672c\u3002
2(x-y)=384÷3;-----------------(1)
2y-z=384÷3;-------------------(2)
2z-(x-y)=384÷3.---------------(3)
即x-y=64,代入(3),得:2z-64=128,z=96;
把z=96代入(2),得:2y-96=128,y=112;
把y=112代入x-y=64,得:x-112=64, x=176.
答：原来上层有176本,中层有112本,下层有96本.
绛旓細绛旓細鍘熸潵涓婂眰鏈176鏈,涓眰鏈112鏈,涓嬪眰鏈96鏈.
绛旓細瑙ｏ細涓婂眰鍜屼腑灞傜殑鏈暟姣旀槸2 锛3=8 锛12 涓眰鍜涓嬪眰鐨勬湰鏁版瘮鏄4 锛5=12 锛15 涓娿佷腑銆佷笅灞傜殑鏈暟姣旀槸8 锛12 锛15 8+12+15=35 70梅35=2 涓婂眰鏈2x8=16鏈 涓眰鏈2x12=24鏈 涓嬪眰鏈2x15=30鏈 绛旓細涓婂眰鏈16鏈紝涓眰鏈24鏈紝涓嬪眰鏈30鏈
绛旓細骞冲潎姣忓眰48鏈
绛旓細鍥炵瓟锛256梅(1+3+4)脳(4-1) =256梅8脳3 =96
绛旓細涓涓功鏋跺垎涓婁腑涓嬩笁灞傦紝鍏辨斁涔281鏈紝 宸茬煡涓嬪眰涔︾殑鏈暟姣斾腑灞傜殑3鍊嶅2鏈紝涓婂眰涔︾殑鏈暟姣斾腑灞傜殑2鍊嶅皯3鏈 銆備腑灞備功鏈夊灏戞湰锛燂紙281-2+3锛壝凤紙3+2+1锛夛紳282梅6 锛47锛堟湰锛夌瓟锛氫腑灞備功鏈47鏈
绛旓細瑙ｏ細璁句腑灞傛槸x锛屼笂灞傛槸锛坸+4锛夛紝涓嬪眰鏄紙x+8锛墄+x+4+x+8=84 3x+12=84 3x=84-12 3x=72 x=72梅3 x=24 x+4=24+4=28 x+8=24+9=32 绛旓細
绛旓細璁句笂灞俋鏈佷腑灞俌銆佷笅灞俍 X+Y+Z=192 2(X-Y)=2Y-Z=2Z-X+Y 鎵浠ヤ笂灞96鏈佷腑灞32鏈佷笅灞64鏈
绛旓細閭ｄ箞锛屽皢鎬绘暟鍑忓幓14鏈紝鍐嶅噺鍘23鏈紝鐒跺悗闄や互3锛屽氨鍙互寰楀埌涓眰鐨勬湰鏁般傜劧鍚庡啀鐢变腑灞傜殑鏈暟鍔犱笂14锛屽緱鍒颁笂灞傜殑鎬绘暟锛岀敱涓眰鐨勬湰鏁板姞涓23锛屽緱鍒颁笅灞傜殑鏈暟銆(283-14-23)梅3 =246梅3 =82锛堟湰锛82+14=96锛堟湰锛82+23=105锛堟湰锛夌瓟锛氫笂灞傛湁96鏈紝涓眰鏈82鏈紝涓嬪眰鏈105鏈
绛旓細1:.涔︽灦涓鍒嗕笂涓笅涓夊眰锛屽叡鏀浜192鏈功锛岀幇浠庝笂灞傚彇鍑轰笌涓眰鍚屾牱澶氱殑涔︽斁鍒颁腑灞傦紝鍐嶄粠涓眰鍙栧嚭涓庝笅灞傚悓鏍峰鐨勪功鏀惧埌涓嬪眰锛屾渶鍚庯紝浠庝笅灞傚彇鍑轰笂灞傚墿涓嬪悓鏍峰鐨勪功鏀惧埌涓婂眰锛岃繖鏃涓夊眰涔︽灦鎵鏀剧殑涔︾殑鏈暟鐩哥瓑锛岃繖涓功鏋朵笂涓笅灞傚師鏉ュ悇鏈夊灏戞湰涔︼紵杩欓亾棰樹粠鍚庡悜鍓嶅仛銆備笁灞備功鍒氬ソ鐩哥瓑涔熷氨鏄瘡灞192/3=64...
绛旓細鏃㈢劧涓婁腑涓閮界浉鍚岋紝閭ｄ箞灏辨槸192梅3=64锛堟湰锛夐嗘帹鏉ヨ绠 鏈鍚庝粠涓嬪眰鍙栧嚭涓庝笂灞傚墿涓嬬殑鍚屾牱澶氱殑涔︽斁鍒颁笂灞傦紝杩欐槸涓夊眰鏈暟鐩稿悓浜嗭紝閭ｄ箞璇存槑锛屼笅缁欎笂灞64梅2=32锛堟湰锛夛紝涓嬫湭缁欎笂鏄湁锛64+32=96锛堟湰锛夛紝涓嬪師鏈夛細96梅2=48锛堟湰锛変腑鏈粰涓嬫槸鏈夛細192-32-48=112锛堟湰锛夐偅涓師鏉ユ湁锛112梅2=56锛堟湰...
