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138 lines
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138 lines
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<h1 class="puzTitle">9-digit Number Puzzle - Solution</h1>
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<div class="puzPuzzle"><h2>The Puzzle:</h2>
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<div class="puzText">
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<div class="puzThumb"><img src="images/numbers.svg" alt="9-digit Number" style="border-style: none" /></div>
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<p>What 9-digit number has the following features: </p>
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<p>It has all 9 digits from 1 to 9</p>
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<p>It can be exactly divided by 6 and 7</p>
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<p>Each time it is rounded (starting with units, then tens, hundreds, etc) it rounds in an alternate pattern (up, down, up, ...), until after rounding 8 times the final number is 500000000</p>
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<p>After rounding four times the sum of the digits is 24</p>
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<p><br />
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Bonus: what is the solution if the rounding goes down, up, down, ...</p></div>
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<div class="puzSoln"><h2>Our Solution:</h3>
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<div class="puzSolnText">For rounding going up, down, up, ... <br />
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<br />
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This solution is courtesy of Nasir Hassan:<br />
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<br />
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536192748 (the solution)<br />
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536192750<br />
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536192700<br />
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536193000<br />
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536190000 (digits add to 24)<br />
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536200000<br />
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536000000<br />
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540000000<br />
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500000000 (final number)<br />
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<br />
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<br />
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And Ramon Fraterman found these solutions:<br />
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<br />
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* 517294638<br />
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* 518372946<br />
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* 519273846<br />
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* 527194836<br />
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<br />
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<br />
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<br />
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Bonus (rounding going down, up, down, ...) :<br />
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<br />
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473816952 (the solution)<br />
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473816950<br />
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473817000<br />
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473817000<br />
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473820000 (digits add to 24)<br />
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473800000<br />
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474000000<br />
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470000000<br />
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500000000 (final number)<br />
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</div></div>
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<div class="puzSolnFtr">Try more <a href="number-puzzles-index.html">Number Puzzles</a><br>See this puzzle <a href="9-digit-number.html">without solution</a><br></div>
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