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How many whole numbers between 100 and 200 have the sum of their digits equal to 6?
Wiki User
∙ 13y ago
Between 1 and 200, they are three digit numbers of which the first must be 1.
To sum to 6, the remaining 2 digits must sum to 5, thus they must be 0 & 5, 1 & 4 or 2 & 3.
There are 3 pairs and they can go in either order, so there are 3 x 2 = 6 ways they can be used to create a three digit number with 1.
Thus there are 6 numbers between 100 and 200 whose digits sum to 6, namely 105, 114, 123, 132, 141 and 150.
Wiki User
∙ 13y ago
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I believe here are 51 such numbers.
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