a+b+c=63,a+c+d=71,a+b+d=68,b+c+d=65,a,b,c,d,各是多少

2024-11-06 09:36:53
推荐回答(3个)
回答1:

a+b+c=63(1)
a+c+d=71(2)
a+b+d=68(3)
b+c+d=65(4)
(1)式+(2)式+(3)式+(4)式得:
3a+3b+3c+3d=267
3(a+b+c+d)=267
a+b+c+d=267/3
=89 (5)
(5)式-(1)式得
d=26
(5)式-(2)式得
b=18
(5)式-(3)式得
c=21
(5)式-(4)式得
a=24

回答2:

a+b+c+d=(63+71+68+65)÷3=267÷3=89
a=(a+b+c+d)-(b+c+d)=89-65=24
b=(a+b+c+d)-(a+c+d)=89-71=18
c=(a+b+c+d)-(a+b+d)=89-68=21
d=(a+b+c+d)-(a+b+c)=89-63=26

回答3:

a+b+c+a+c+d+a+b+d+b+c+d=63+71+68+65,
3(a+b+c+d)=267,
a+b+c+d=89,
所以a+b+c+d-(a+b+c)=89-63,即d=26;
a+b+c+d-(a+c+d)=89-71,即b=18;
a+b+c+d-(a+b+d)=89-68,即c=21;
a+b+c+d-(b+c+d)=89-65,即a=24;
答案为:24,18,21,26.