甲乙两人分别有若干元,甲比乙多1/3,当甲给乙9元时,一比价多4/5,问甲乙两人原来分别有多少元? 甲乙两人分别有人民币若干元。甲比乙多三分之一。当甲借给乙9元...
\u7532\u4e59\u5206\u522b\u6709\u82e5\u5e72\u5143\u4eba\u6c11\u5e01\u3002\u7532\u6bd4\u4e59\u591a\u4e09\u5206\u4e4b\u4e00\u3002\u5f53\u7532\u501f\u7ed9\u4e599\u5143\u65f6\uff0c\u4e59\u53cd\u800c\u6bd4\u7532\u591a2\u5143\u3002\u7532\u4e59\u4e24\u4eba\u89e3\uff1a\u6839\u636e\u7b2c\u4e00\u4e2a\u6761\u4ef6\uff0c\u5f97 \u7532\uff1d4/3\u4e59\uff0c
\u6839\u636e\u7b2c\u4e8c\u4e2a\u6761\u4ef6\uff0c\u5f97 \u7532\uff0d9\uff1d\u4e59+9-2 \u5373\u7532\uff1d\u4e59+16
\u8ba1\u7b97\u53ef\u5f97\uff1a\u4e59\uff1d48\u5143\uff0c\u7532\uff1d64\u5143
\u628a\u4e59\u770b\u62103\u4efd\uff0c\u7532\u5c31\u662f4\u4efd\u3002
2\u00d79-2=16\u5143
4-3=1\u4efd
16\u5143\u5c31\u662f\u4e00\u4efd
16\u00d73=48\u5143
16\u00d74=64\u5143
x+9=(1+4/5)(4/3x-9)
x=18
4/3x=24
甲有24元,乙18元
绛旓細鑻ョ敳缁欎箼24鍏冧袱浜鐨勯挶涓鏍 璇存槑鐢叉瘮涔欏24脳2=48鍏 涔欏啀缁欑敳27鍏冿紝鐢灏辨瘮涔欏锛48+27脳2=102鍏 姝ゆ椂鐢叉槸涔欑殑2鍊嶏紝涔熷氨鏄鏃剁敳姣斾箼澶1鍊 鎵浠ユ鏃朵箼鏈102鍏 鍘熸潵锛屼箼鏈夛細102+27=129鍏 鐢叉湁锛129+48=177鍏
绛旓細瑙o細璁涔鏈墄鍏冿紝鍒欑敳鏈5x/4鍏 渚濋鎰忓彲寰楋細5x/4-3600=x-1/3锛5x/4-3600锛夎В寰楋細x=7200鍏 鐢叉湁锛5/4*7200=9000锛堝厓锛
绛旓細鐢遍鎰忕煡 鐢叉槸6/5 涔欐槸 1锛屽垯鐢蹭箼涓や汉鐨勯挶鏁颁箣姣斾负6:5
绛旓細璁句箼鍘熸湁x鍏冿紝鍒欑敳鍘熸湁x+1/4x=5x/4鍏 鐢茬敤鍘360锛屽墿涓5x/4-360 姝ゆ椂涔欏弽鑰屾瘮鐢插1/3, 鍗虫湁鏂圭▼锛歺=(5x/4-360)*(1+1/3)x=(5x/4-360)*4/3 3x=5x-1440 2x=1440 x=720 鏁5x/4=900 鍥犳鐢蹭箼鍘熸湁900鍏,720鍏
绛旓細璁剧敳鏈塜鍏冧箼鏈塝鍏 X=Y+1/3Y X-9=Y+9-2 X=Y+16 Y=48 X=64
绛旓細4/7-5/14=3/14 9/3/14=42 涔欙細42*3/7=18 鐢诧細42*4/7=24
绛旓細鑻ョ敳缁欎箼5鍏冿紝鍒鐢蹭箼涓や汉鐨勯挶鏁扮浉绛 璇存槑鐢叉瘮涔欏锛5脳2=10鍏 涔欏啀缁欑敳40鍏冿紝鐢灏辨瘮涔欏锛40脳2+10=90鍏 姝ゆ椂锛屼箼鏈夛細90梅锛4-1锛=30鍏 鐢叉湁锛30脳4=120鍏 鍘熸潵锛岀敳鏈夛細120-40=80鍏 涔欐湁锛30+40=70鍏
绛旓細濡傛灉鐢茬粰涔18鍏冿紝涓や汉鐨勯挶鐩哥瓑 璇存槑鐢叉瘮涔欏锛18+18=36(鍏)涓や汉鍒板晢搴椾拱浜嗚‖琛紝鍚勭敤鍘8鍏冿紝杩欐椂鐢插墿涓嬬殑閽辩殑4\15绛変簬涔欏墿涓嬬殑2\5 姝ゆ椂鐢蹭箼閽辨暟涔嬫瘮涓猴細2/5:4/15=3:2 鎵浠ユ鏃剁敳鏈夛細36梅(3-2)x3=108(鍏)鐢插師鏈夛細108+8=116(鍏)涔欏師鏈夛細116-36=80(鍏)...
绛旓細鍥炵瓟锛氱敳20梅(1-3/5)=50 涔50-20=30
绛旓細璁剧敳鏈墄鍏冿紝涔鏈墆鍏 鍒檟=(1+1/3)y (x-9)(1+4/5)=y+9 瑙f柟绋嬬粍寰楋細x=24 y=18 鐢蹭箼涓や汉鍘熸潵鍒嗗埆鏈24鍏冨拰18鍏