document.write( "Question 1105585: Hi
\n" ); document.write( "alan and bob share a sum of money. If alan gives1/4 of his share to bob, bob will have twice as much as alan. What was the ratio of alans share to bobs share at first.\r
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Algebra.Com's Answer #720450 by ikleyn(52874) $\"\"$ $\"About$

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document.write( "Let A = amount of Alan's money (shares ?)\r\n" );
document.write( "    B = amount of Bob's  money.\r\n" );
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document.write( "The condition says that  = 2.    (1)\r\n" );
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document.write( "Simplify the ratio in the left side, step by step. You will have\r\n" );
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document.write( " =  =  +  =  +  =  +  =  + .\r\n" );
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document.write( "So we can write (1) in an equivalent form\r\n" );
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document.write( " +  = 2,\r\n" );
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document.write( "which implies  \r\n" );
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document.write( " =  - ,  ====>   =   ====>   =  = .\r\n" );
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document.write( "Answer.  The ratio of Alan' share to Bob' share at first was   = .\r\n" );
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