SOLUTION: It is a three digit whole number. Each of its digits is different. It's ten digit is 4 less than 3 times it's one digit. It is divisible by three. It is divisible by 4. The sum of

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Question 915813: It is a three digit whole number. Each of its digits is different. It's ten digit is 4 less than 3 times it's one digit. It is divisible by three. It is divisible by 4. The sum of twice it's hundreds digit and its ones digit is 10. The sum of its hundreds digit and twice it's ones digit is 11. It is divisible by a power of two that is greater than 100. It is less than 400. It's tens digit is 8. What is the number?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the hundreds digit = +h+
Let the units digit = +u+
The tens digit = +8+
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They are all different
(1) +8+=+3u+-+4+
(1) +3u+=+12+
(1) +u+=+4+
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(2) +h+%2B+2u+=+11+
(2) +h+%2B+2%2A4+=+11+
(2) +h+=+11+-+8+
(2) +h+=+3+
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The number is: 384
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check:
+384%2F3+=+128+
+384%2F4+=+96+
It is less than +400+
+384+%2F+%28+2%5E7+%29+=+384%2F128+
+384%2F128+=+3+
OK