document.write( "Question 157569: The ages of Paul and Judy total 27 years
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document.write( "Judy's age plus twice Paul' age is 43\r
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document.write( "First translate the words into an algebra equation \n" );
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Algebra.Com's Answer #116098 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The ages of Paul and Judy total 27 years \n" ); document.write( "Judy's age plus twice Paul' age is 43 \n" ); document.write( "First translate the words into an algebra equation \n" ); document.write( "---------------- \n" ); document.write( "Use P for Paul's age and J for Judy's age. It saves typing. \n" ); document.write( "The 1st sentence says P + J = 27. So far so good. \n" ); document.write( "Then the 2nd sentence: \n" ); document.write( "J + 2*P = 43 See that? \n" ); document.write( "Now we have 2 eqns in 2 unknowns, so we can solve for P and J (not PB & J, tho) \n" ); document.write( "--------- \n" ); document.write( "J + P = 27 EQN 1 \n" ); document.write( "J + 2P = 43 EQN 2 \n" ); document.write( "Subtract EQN 1 from EQN 2 \n" ); document.write( "0 + P = 16 \n" ); document.write( "So Paul is 16 \n" ); document.write( "27 - 16 = 11, so \n" ); document.write( "Jane is 11.\r \n" ); document.write( "\n" ); document.write( "That's it. \n" ); document.write( " |