# If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100(both inclusive) varies by ??

1
by radradharm

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by radradharm

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6 comes in 'units' place 10 times in the numbers 1 to 100 i.e. 6,16...96

6 comes in 'tens' place 10 times in the numbers 1 to 100 i.e. 60,61...69

sum of these 6's is 10(6*10)+10(6*1)=600+60=660

If all 6's are replaced by 9

then the sum of those 9's will be 10(9*10)+10(9*1)=990

now algebraic sum will be 5050-660+990= 5380

Difference: 5380 - 5050 = 330