document.write( "Question 1144625: I have six billiard balls, one of which weighs less than the other five. Otherwise, they all look exactly the same. How can I identify the one that weighs less on a balance scale with only two weighings? \n" ); document.write( "
Algebra.Com's Answer #765789 by ikleyn(52778)\"\" \"About 
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document.write( "(1)  First weighting\r\n" );
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document.write( "     Put 3 ball to one side of the balance scale and 3 other balls to the other side.\r\n" );
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document.write( "    In this way you determine which group of the two is lighter : this group contains the lighter ball.\r\n" );
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document.write( "(2)  Second weighting\r\n" );
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document.write( "     From the lighter group of the 3 balls put one ball to one side of balance scale and one ball to the other side.\r\n" );
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document.write( "    If the scale is in equilibrium, it means that the lighter ball is the third ball of this group.\r\n" );
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document.write( "    If the scale is not in the equilibrium, than you can determine which ball of the two on the scale is lighter.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved, explained and answered.\r
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\n" ); document.write( "\n" ); document.write( "It is a classic entertainment problem.  Good to develop and exercise your mind from  5  to  75  years.\r
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\n" ); document.write( "\n" ); document.write( "In this site,  you can find other similar problems in the lesson\r
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