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If all the 6 are replaced by 9 then the algebraic sum of all the numbers from 1 to 100 both inclusive varies by?
Wiki User
∙ 14y ago
The numbers from 1 through 100 contain 10 instances of the digit 6 in the units position and 10 instances of the digit 6 in the tens position. Therefore, replacing any digit 6 in one of these numbers with a digit 9 increases the sum by:
10(9 - 6) + 100(9 - 6) = 110 X 3 = 330.
Wiki User
∙ 14y ago
Anonymous
Every one's value of 6 (6,16,26...96) which are replaced by 9 (and become 9,19,...99) is increased by 3 each= 10*3= 30
Similarly every ten's value of 6(60,61...69) which are replaced by 9(and become (90,91....99) is increased by 30 each = 10*30 =300
Therefore, 30+300= 330
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