SOLUTION: The sum of two 3-digit numbers, abc and def, is estimated as 100(a + d). What is the maximum error this estimation method could yield for the sum?

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Question 1112592: The sum of two 3-digit numbers, abc and def, is estimated as 100(a + d). What is the maximum error this estimation method could yield for the sum?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Error+=+%28100a%2B10b%2Bc%29%2B%28100d%2B10e%2Bf%29-100%28a%2Bd%29
Error+=+100a%2B10b%2Bc%2B100d%2B10e%2Bf-100a-100d
Error+=+10b%2Bc%2B10e%2Bf

That is a maximum when all digits are 9

b=c=e=f=9, so substituting 9's for all the letters:

matrix%281%2C2%2CMaximum%2CError%29+=+10%289%29%2B%289%29%2B10%289%29%2B%289%29=198

Edwin