document.write( "Question 697604: If Albert gives Bob 10 cents, Bob will have 5 cents more than Albert. If Albert then gives Bob another 20 cents, twice Albert's amount will exceed Bob's amount by 5 cents. How much money did each boy have at first? \n" ); document.write( "
Algebra.Com's Answer #430168 by Edwin McCravy(20060)\"\" \"About 
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If Albert gives Bob 10 cents,
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document.write( "Albert will have A-10 cents and Bob will have B+10\r\n" );
document.write( "Bob will have 5 cents more than Albert. \r\n" );
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document.write( "So what Bob will have equals what Albert will have PLUS 5 cents\r\n" );
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document.write( "B+10 = A-10 + 5\r\n" );
document.write( "simplifying\r\n" );
document.write( "B+10 = A-5\r\n" );
document.write( "B+15 = A\r\n" );
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\n" ); document.write( "If Albert then gives Bob another 20 cents,
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document.write( "Albert will have A-10 - 20 cents and Bob will have B+10 + 20\r\n" );
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document.write( "Simplifying\r\n" );
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document.write( "Albert will have A-30 cents and Bob will have B+30\r\n" );
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\n" ); document.write( "twice Albert's amount will exceed Bob's amount by 5 cents.
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document.write( "So 2 times (A-30) will equal B+30 PLUS 5\r\n" );
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document.write( "or\r\n" );
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document.write( "2(A-30) = B+30 + 5\r\n" );
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document.write( "or\r\n" );
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document.write( "2A-60 = B+35\r\n" );
document.write( "   2A = B+95\r\n" );
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document.write( "So we have this system:\r\n" );
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document.write( "B+15 = A\r\n" );
document.write( "2A = B+95\r\n" );
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document.write( "Solve it and get Albert had 80 cents and Bob had 65 cents.\r\n" );
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document.write( "Checking:\r\n" );
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document.write( "If Albert gives Bob 10 cents, Bob will have 75 cents and Albert will\r\n" );
document.write( "have 70 cents \r\n" );
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\n" ); document.write( "5 cents more than Albert.
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document.write( "That checks since 80 is 5 more than 75.\r\n" );
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\n" ); document.write( "If Albert then gives Bob another 20 cents,
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document.write( "Then Albert will have 50 cents and Bob will have 95 cents\r\n" );
document.write( "

\n" ); document.write( "twice Albert's amount will exceed Bob's amount by 5 cents.
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document.write( "That checks because twice 50 cents is a dollar which is\r\n" );
document.write( "5 cents more than Bob's 95 cents.\r\n" );
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document.write( "Edwin
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