Analytical Mathematics
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This number added to it’s square, and the digits of that summation added together, bring it back to itself. What is the number?
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A simple peasant bought a number of camels and is taking them to his farm. As he rides contentedly along he counts them – he counts 29. He was sure he had bought 30 camel, so in alarm he jumps off his camel and counts the camels again. To his delight there are 30. Half an hour later, he counts his camels and once more there are just 29. Confused, he climbs off his camel and counts again. Once more there are 30. Can you explain?
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Fill in the blanks to complete the sequence:
……… + 13 * ……… / ……… + ……… + 12 *……… – ……… – 11 + ……… * ……… / ……… – 10 = 66(Note: fill in the above blank with the digits 1 to 9, using each digit only once.)
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