Question

小学奥数题（计算题一道）

已知1/2*{1/3*[1/4*(1/5x-1)-2]-3}-4=1996。25除x的商减去9的差的1%是______。

Answer 1

解：1/2*{1/3*[1/4*(1/5x-1)-2]-3}-4=1996
1/2*{1/3*[1/4*(1/5x-1)-2]-3}=2000
x/120-3/2-1/3-1/24=2000
x/120-15/8=2000
x=2000*120+15*15
x=40*25*240+9*25
x=(40*240+9)*25
(x/25-9)*1%=[(40*240+9)*25/25-9]*0.01
=40*240*0.01
=4*24
=96

Answer 2

1/2*{1/3*[1/4*(1/5x-1)-2]-3}-4=1996
1/2*{1/3*[1/4*(1/5x-1)-2]-3}=1996+4=2000
1/3*[1/4*(1/5x-1)-2]-3=2000X2=4000
1/3*[1/4*(1/5x-1)-2]=4000+3=4003
1/4*(1/5x-1)-22=4003X3=12009
1/4*(1/5x-1)=12009+22=12031
1/5x-1=12031X4=48124
1/5x=48124+1=48125
x=48125X5=240625
25除x的商减去9的差的1%
=(x/25-9)X1%
=x/2500-9%

Answer 3

先算出X再求(25/x-9)*1%