document.write( "Question 1012879: The sum of squares of two positive integersis is 106. Out of that sum of the greatest number and triple of smallest number is 24, find the numbers. \n" ); document.write( "

Algebra.Com's Answer #628975 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "S=small number; L=large number
\n" ); document.write( ".
\n" ); document.write( " $\"S%5E2%2BL%5E2=106\"$
\n" ); document.write( " $\"L%5E2=106-S%5E2\"$
\n" ); document.write( ".
\n" ); document.write( " $\"L%2B3S=24\"$
\n" ); document.write( " $\"L=24-3S\"$
\n" ); document.write( " $\"L%5E2=%2824-3S%29%5E2=9S%5E2-144S%2B576\"$
\n" ); document.write( ".
\n" ); document.write( " $\"9S%5E2-144S%2B576=106-S%5E2\"$
\n" ); document.write( " $\"10S%5E2-144S%2B470=0\"$
\n" ); document.write( " $\"5S%5E2-72S%2B235=0\"$
\n" ); document.write( " $\"%285S-47%29%28S-5%29=0\"$
\n" ); document.write( " $\"5S-47=0\"$ $\"OR\"$ $\"S-5=0\"$
\n" ); document.write( " $\"5S=47\"$ $\"OR\"$ $\"S=5\"$
\n" ); document.write( " $\"S=47%2F5\"$ $\"OR\"$ $\"S=5\"$
\n" ); document.write( ".
\n" ); document.write( "ANSWER 1: The small number is 5.
\n" ); document.write( ".
\n" ); document.write( " $\"L%2B3S=24\"$
\n" ); document.write( " $\"L%2B3%285%29=24\"$
\n" ); document.write( " $\"L%2B15=24\"$
\n" ); document.write( " $\"L=9\"$
\n" ); document.write( ".
\n" ); document.write( "ANSWER 2: The large number is 9.
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\n" ); document.write( "CHECK
\n" ); document.write( ".
\n" ); document.write( " $\"S%5E2%2BL%5E2=106\"$
\n" ); document.write( " $\"5%5E2%2B9%5E2=106\"$
\n" ); document.write( " $\"25%2B81=106\"$
\n" ); document.write( " $\"106=106\"$
\n" ); document.write( ".\r
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