Needgmat wrote:Each of the positive integers a, b, and c is a three-digit integer. If each of the digits 1 through 9 appears in one of these three integers, what is the minimum possible value of the sum of a, b, and c?
A) 45
B) 666
C) 774
D) 801
E) 1368
To minimize the sum, the hundreds digits should be AS SMALL AS POSSIBLE:
1XX
2XX
3XX
The tens digits should also be as small as possible:
14X
25X
36X
Thus, the units digits must be 7, 8, and 9:
147
258
369
Since 7+8+9 = 24, the sum of the three integers above must have a units digit of 4.
The correct answer is
C.
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