document.write( "Question 459212: Divide 32 into two parts such that if the larger is divided by the smaller, the quotient is 2 and the remainder is 5.
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Algebra.Com's Answer #314946 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the parts = $\"a\"$ and $\"b\"$ ,
\n" ); document.write( "with $\"a\"$ being larger
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+32+\"$
\n" ); document.write( "(2) $\"+a%2Fb+=+2+%2B+5%2Fb+\"$
\n" ); document.write( "Multiply both sides by $\"b\"$
\n" ); document.write( "(2) $\"+a+=+2b+%2B+5+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+32+-+b+=+2b+%2B+5+\"$
\n" ); document.write( "(2) $\"+3b+=+32+-+5+\"$
\n" ); document.write( "(2) $\"+3b+=+27+\"$
\n" ); document.write( "(2) $\"+b+=+9+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+32+\"$
\n" ); document.write( "(1) $\"+a+%2B+9+=+32+\"$
\n" ); document.write( "(1) $\"+a+=+23+\"$
\n" ); document.write( "check answers:
\n" ); document.write( "(2) $\"+a%2Fb+=+2+%2B+5%2Fb+\"$
\n" ); document.write( "(2) $\"+23%2F9+=+2+%2B+5%2F9+\"$
\n" ); document.write( "(2) $\"+23+=+18+%2B+5+\"$
\n" ); document.write( "(2) $\"+23+=+23+\"$
\n" ); document.write( "OK \n" ); document.write( "

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