Maths~~~有條題目要問~~~~~~~~~~~(10分)

2006-10-30 7:35 pm
A,B,C3人分錢
A,B共得160元,B,C共得142元,AC共得140元,
問C分得多少錢

回答 (4)

2006-10-30 7:38 pm
✔ 最佳答案
A + B = 160 (1)
B + C = 142 (2)
A + C = 140 (3)

疊加
2 ( A + B + C ) = 442
A + B + C = 221 (4)

(4) -( 1)
C = 61

(4) - ( 2)
A = 79

(4) - (3)
B = 81
2006-10-30 7:46 pm
a是79
b是81
c是61
請問要不要過程
參考: 自己計算
2006-10-30 7:43 pm
設A,B,C有x,y,z元.

x + y = 160 ------( 1 )
y + z = 142 -----( 2 )
x + z = 140-----( 3 )

( 3 ) + ( 2 ) - ( 1 )

x +z + y + z - x - y = 140 +142 -160
2 z = 122
z = 61

C有61元
2006-10-30 7:41 pm
A+B=160 (1)
B+C=142 (2)
A+C=140 (3)

(1)+(2)+(3): 2A+2B+2C= 442
A+B+C=221 (4)
(4)-(1): C= 61


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