数学
数学题 XYMNX Y M N 都为正整数,X/Y=Y/M=M/N=5/8,求X+Y+M+N的最小值

2019-05-07

数学题 XYMN
X Y M N 都为正整数,X/Y=Y/M=M/N=5/8,求X+Y+M+N的最小值
优质解答
X/Y=Y/M=M/N=5/8,
X=5/8Y
Y=5/8M
M=5/8N
X=5/8*5/8*5/8N=125N/512
Y=5/8*5/8N=25N/64
M=5/8N
X Y M N 都为正整数
N至少为512
X=125
Y=200
M=320
X+Y+M+N的最小值为512+125+200+320=1157
X/Y=Y/M=M/N=5/8,
X=5/8Y
Y=5/8M
M=5/8N
X=5/8*5/8*5/8N=125N/512
Y=5/8*5/8N=25N/64
M=5/8N
X Y M N 都为正整数
N至少为512
X=125
Y=200
M=320
X+Y+M+N的最小值为512+125+200+320=1157
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