SOLUTION: An integer is composed of three digits. The first digit is even. The second digit is six less than the first digit. The third digit is three less than the first. If the integer is

Question 314102: An integer is composed of three digits. The first digit is even. The second digit is six less than the first digit. The third digit is three less than the first. If the integer is not divisible by five,what is the sum of the three digits?
(A) 9 (B) 11 (C) 12 (D) 15 (E) None of these
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Let the integer be represented as XYZ
You are told X is even - so X can be 0,2,4,6 0r 8
Y is 6 less than X. Thus X must be either 6 or 8 for Y to be valid
Z is 3 less than X. So Z is either 3 or 5
You are told the number is not divisible by 5, so Z cannot be 5. Z must therefore be 3
Which makes X 3+3 = 6
Which makes Y 6-6 = 0
The number is 603
Total of X+y+Z = 9
Answer is A
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