document.write( "Question 1120446: When Juanita is as old as her mother is now, she will be five times as old as her son is now. By then, Juanita's son will be 8 years older than Juanita is now. Juanitas age combined with her mothers age, equals 100 years. how old is Juanita's son? \n" ); document.write( "

Algebra.Com's Answer #736103 by josgarithmetic(39620) $\"\"$ $\"About$

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Assigning variables and carefully transcribing the description into equations:\r
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document.write( "PERSON    VARIABLE   IN x YEARS\r\n" );
document.write( "Juanita    J          J+x\r\n" );
document.write( "Son        y          y+x\r\n" );
document.write( "Mother     m          m+x\r\n" );
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\n" ); document.write( "\n" ); document.write( "The question asks for J.\r
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\n" ); document.write( "\n" ); document.write( " $\"system%28J%2Bx=5y%2CJ%2Bx=m%2Cy%2Bx=8%2BJ%2CJ%2Bm=100%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Steps can be different. First step could be, substitute for m wherever possible,...\r
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\n" ); document.write( "\n" ); document.write( " $\"system%28J-5y%2Bx=0%2C-J%2By%2Bx=8%2C2J%2Bx=100%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "May find that J is 35. \n" ); document.write( "

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