How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2?
Question
How many different positive integers exist between 106 and 107, the sum of whose digits is equal to 2?
Solution
The question asks for positive integers between 106 and 107. The only integers that exist between these two numbers are 106 and 107 themselves.
Now, let's find the sum of the digits for each of these numbers:
For 106: 1 + 0 + 6 = 7
For 107: 1 + 0 + 7 = 8
Neither of these sums equals 2, so there are no positive integers between 106 and 107, the sum of whose digits is equal to 2.
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