Sum of
If = sum of all the digits of , where is a natural number, then what is the value of:
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1 solution
This question is primarily about recognizing the pattern.
In unit's place, we'll have all the numbers from 0 to 9 ten times each. In ten's place again, we'll have all the numerals from 0 to 9 ten times each. In hundred's place, we'll have 99 one's and 1 two's.
Hence, the sum will be = 1 0 ( 0 + 1 + . . . + 9 ) + 1 0 ( 0 + 1 + . . . + 9 ) + 9 9 x 1 + 1 x 2 = 1 0 0 1