The number ABC consists of six three digit numbers. The sum of five of them is 2234. What is the other one?
two hundred and eight
Consider this:
The six numbers are: ABC, ACB, BAC, BCA, cab, CBA,
Then the sum of six numbers is: 200 (a + B + C) + 20 (a + B + C) + 2 (a + B + C) = 2234 + unknowns
On the left is 222 (a + B + C), which means it is a multiple of 222, 222 * 11 = 2442,
2442-2234=208
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