四个数a,b,c,d已知a>b>c>d,a比b大5,b比c大7,a是d的3倍,且这四个数的平均数是22,求这四个数是多少?用算式设D的值为x,则有:A = 3x;B = A - 5 = 3x - 5;C = B - 7 = 3x - 5 - 7 = 3x - 12;由于:四个数的平均数是22所以:(A + B + C + D) / 4 = 22[3x + (3x - 5) + (3x - 12) + x] / 4 = 22(10x - 17) = 22 * 410x = 88 +17x = 105 / 10 = 10.5因此,D的值为10.5.则:A = 3x = 3 * 10.5 = 31.5B = A - 5 = 31.5 - 5 = 26.5C = B - 7 = 26.5 - 7 = 19.5验证:A > B > C > D.答:A等于31.5,B等于26.5,C等于19.5,D等于10.5.A-B=5 (1)B-C=7 (2)A=3D (3)(A+B+C+D)/4=22 (4)由方程(1
四个数a,b,c,d已知a>b>c>d,a比b大5,b比c大7,a是d的3倍,且这四个数的平均数是22,求这四个数是多少?用算式
设D的值为x,则有:A = 3x;B = A - 5 = 3x - 5;C = B - 7 = 3x - 5 - 7 = 3x - 12;由于:四个数的平均数是22所以:(A + B + C + D) / 4 = 22[3x + (3x - 5) + (3x - 12) + x] / 4 = 22(10x - 17) = 22 * 410x = 88 +17x = 105 / 10 = 10.5因此,D的值为10.5.则:A = 3x = 3 * 10.5 = 31.5B = A - 5 = 31.5 - 5 = 26.5C = B - 7 = 26.5 - 7 = 19.5验证:A > B > C > D.答:A等于31.5,B等于26.5,C等于19.5,D等于10.5.
A-B=5 (1)B-C=7 (2)A=3D (3)(A+B+C+D)/4=22 (4)由方程(1)得B=A-5 (5)由方程(1)得C=B-7 (6)把(5)代入(6)得C=A-12 (7)由方程(3)得D=A/3 (8)将方程(5)、(7)和(8)代入方程(4)求得A=31.5B=A-5=26.5C=A-12=19.5D=A/3=10.5
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设D的值为x,则有:A = 3x;B = A - 5 = 3x - 5;C = B - 7 = 3x - 5 - 7 = 3x - 12;由于:四个数的平均数是22所以:(A + B + C + D) / 4 = 22[3x + (3x - 5) + (3x - 12) + x] / 4 = 22(10x - 17) = 22 * 410x = 88 +17x = 105 / 10 = 10.5因此,D的值为10.5。则:A = 3x = 3 * 10.5 = 31.5B = A - 5 = 31.5 - 5 = 26.5C = B - 7 = 26.5 - 7 = 19.5验证:A > B > C > D。答:A等于31.5,B等于26.5,C等于19.5,D等于10.5。
a-b=5 b-c=7 3d=a a+b+c+d=4*22
d:(22*4+5+5+7)/(3*3+1)=10.5
a:10.5*3=31.5
b:31.5-5=26.5
c:26.5-7=19.5