# Digit Sum Condition

Find the sum of all 3-digit positive numbers $$N$$ that satisfy the condition that the digit sum of $$N$$ is 3 times the digit sum of $$N+3$$.

Details and assumptions

The digit sum of a number is the sum of all its digits. For example, $$1123$$ has a digit sum of $$1 + 1 + 2 + 3 = 7$$.

The number $$12=012$$ is a 2-digit number, not a 3-digit number.

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