How many numbers are there from $100$ to $200$ in which sum of any two digit equal to the third digit ?

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Solution

The numbers in which the sum of any two digits is equal to the 3rd digit are:
$101, 110, 112, 121, 123, 132, 134, 143, 156, 165, 167, 176, 178, 187, 189, 198$

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