x+y+z=55 y+z+w=58 x+y+w=62 x+z+w=65

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x+y+z=55 y+z+w=58 x+y+w=62 x+z+w=65
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x+y+z=55 y+z+w=58 x+y+w=62 x+z+w=65
x+y+z=55 y+z+w=58 x+y+w=62 x+z+w=65

x+y+z=55 y+z+w=58 x+y+w=62 x+z+w=65
x+y+z=55 ①
y+z+w=58 ②
x+y+w=62 ③
x+z+w=65 ④
①+②+③+④得3(x+y+z+w)=240
于是x+y+z+w=80 ⑤
⑤-①得 w=25
⑤-②得 x=22
⑤-③得 z=18
⑤-④得 y=15

解三个方程相加得3(X+y+z+w)=55+58+62+65=240
(X+y+z+w)=80
减第一个方程得w=25
减第二个得x=22
减第三个得z=18
减第四个得y=15

X22 Y15 W25 Z18

x+y+z=55 ①
y+z+w=58 ②
x+y+w=62 ③
x+z+w=65 ④
①+②+③+④得3(x+y+z+w)=240
于是x+y+z+w=80 ⑤
⑤-①得 w=25
⑤-②得 x=22
⑤-③得 z=18
⑤-④得 y=15