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∵a+b+c+d=100
∴a/(b+c+d)+b/(a+c+d)+c/(a+b+d)+d/(a+b+c)
=[100-(b+c+d)]/(b+c+d)+[100-(a+c+d)]/(a+c+d)+[100-(a+b+d)]/(a+b+d)+[100-(a+b+c)]/(a+b+c)
=100/(b+c+d)-1+100/(a+c+d)-1+100/(a+b+d)-1+100/(a+b+c)-1
=95
∴100/(b+c+d)+100/(a+c+d)+100/(a+b+d)+100/(a+b+c)=99
∴1/(b+c+d)+1/(a+c+d)+1/(a+b+d)+1/(a+b+c)=99/100
∴a/(b+c+d)+b/(a+c+d)+c/(a+b+d)+d/(a+b+c)
=[100-(b+c+d)]/(b+c+d)+[100-(a+c+d)]/(a+c+d)+[100-(a+b+d)]/(a+b+d)+[100-(a+b+c)]/(a+b+c)
=100/(b+c+d)-1+100/(a+c+d)-1+100/(a+b+d)-1+100/(a+b+c)-1
=95
∴100/(b+c+d)+100/(a+c+d)+100/(a+b+d)+100/(a+b+c)=99
∴1/(b+c+d)+1/(a+c+d)+1/(a+b+d)+1/(a+b+c)=99/100
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