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108 lines
5.9 KiB
HTML
108 lines
5.9 KiB
HTML
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<div class="puzLinks"><a class="puzLink" href="measuring-puzzles-index.html">Measuring Puzzles</a><a class="puzLink" href="starter-puzzles-index.html">Starter Puzzles</a><a class="puzLink" href="../games/puzzle-games.html">Puzzle Games</a><a class="puzLink" href="logic-puzzles-index.html">Logic Puzzles</a><a class="puzLink" href="jigsaw-puzzles-index.html">Jigsaw Puzzles</a><a class="puzLink" href="number-puzzles-index.html">Number Puzzles</a><a class="puzLink" href="card-puzzles-index.html">Card Puzzles</a><a class="puzLink" href="einstein-puzzles-index.html">Einstein Puzzles</a><a class="puzLink" href="sam-loyd-puzzles-index.html">Sam Loyd Puzzles</a><a class="puzLink" href="algebra-puzzles-index.html">Algebra Puzzles</a></div> <div id="extra"></div>
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<h1 class="puzTitle">1996 Puzzle - Solution</h1><div class="puzPuzzle"><h2>The Puzzle:</h2><div class="puzText"><div class="puzThumb"><a href="number-puzzles-index.html"><img src="images/numbers.svg" alt="1996" style="border-style: none" /></a></div>Use the numerals 1, 9, 9 and 6 exactly in that order to make the following numbers: 28, 32, 35, 38, 72, 73, 76, 77, 100 and 1000<br />
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<br />
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You can use the mathematical symbols +, -, ×, /, √, ^ (exponent symbol) and brackets.<br />
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<br />
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Example: 1×9+9×6 = 63</div></div><div class="puzSep"></div><div class="puzSoln"><h2>Our Solution:</h3><div class="puzSolnText">1+9+√(9)×6 = 28 <br />
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(1/√(9))×96 = 32 <br />
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-19+(9x6) = 35 <br />
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19/(√(9)/6) = 38<br />
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(1+√(9))×√(9)×6 = 72 <br />
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19+(9×6) = 73<br />
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1+(9×9)-6 = 76<br />
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-19+96 = 77 <br />
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1+√(9)+96 = 100 <br />
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(1+9)^(9-6) = 1000 <br />
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<br />
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<br />
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<br />
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Robert Veith has worked out all of these:<br />
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<br />
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1 + 9(-√(9) + 6) = 28<br />
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19 + √(9) + 6 = 28<br />
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1^9 + √(√(9))^6 = 28<br />
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1 + √(9)(√(9) + 6) = 28<br />
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1 + 9(-√(9) + 6) = 28<br />
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1 + 9(9 - 6) = 28<br />
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1 + √(9)^(-√(9) + 6) = 28<br />
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1 + √(9)^(9 - 6) = 28<br />
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1 + √(√(√(√(√(√(9))))))^96 = 28<br />
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-1 + √(9)^√(9) + 6 = 32<br />
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-1 + 9*√(9) + 6 = 32<br />
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-1 + (√(9) + √(9))(6) = 35<br />
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-1 + (9 - √(9))(6) = 35<br />
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-1 + 9 + √(√(9))^6 = 35<br />
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(-1 + 9)(√(9) + 6) = 72<br />
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1(9 + √(9))(6) = 72<br />
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(1*9 + √(9))(6) = 72<br />
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1 + (9 + √(9))(6) = 73<br />
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(1 + 9)^√(√(9) + 6) = 1000<br />
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√(√(1 + 99))^6 = 1000<br />
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(1 + 9)^(-√(9) + 6) = 1000<br />
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√(√(√(√(√(1 + 9)^96 = 1000</div></div><div class="puzSolnFtr">See this puzzle <a href="1996.html">without solution</a><br />Discuss this puzzle at the <a href="http://www.mathisfunforum.com/index.php">Math is Fun Forum</a></div><div class="related"><a href="number-puzzles-index.html">Number Puzzles</a><a href="index.html">Puzzles Index</a></div><!-- #EndEditable --></div>
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