document.write( "Question 1148560: Find the consecutive even numbers such that the sum of 3/5 of the first, 1/2 of the second and 3/8 of the third is 32. \n" ); document.write( "

Algebra.Com's Answer #769899 by josmiceli(19441) $\"\"$ $\"About$

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Let the numbers be $\"+n+\"$ , $\"+n%2B2+\"$ , $\"+n+%2B+4+\"$
\n" ); document.write( " $\"+%283%2F5%29%2An+%2B+%281%2F2%29%2A%28+n+%2B+2+%29+%2B+%283%2F8%29%2A%28+n+%2B+4+%29+=+32+\"$
\n" ); document.write( "Multiply both sides by $\"+40+\"$
\n" ); document.write( " $\"+24n+%2B+20%2A%28+n+%2B+2+%29+%2B+15%2A%28+n+%2B+4+%29+=+1280+\"$
\n" ); document.write( " $\"+24n+%2B+20n+%2B+40+%2B+15n+%2B+60+=+1280+\"$
\n" ); document.write( " $\"+59n+=+1180+\"$
\n" ); document.write( " $\"+n+=+20+\"$
\n" ); document.write( " $\"+n+%2B+2+=+22+\"$
\n" ); document.write( " $\"+n+%2B+4+=+24+\"$
\n" ); document.write( "The numbers are 20, 22, and 24
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%283%2F5%29%2An+%2B+%281%2F2%29%2A%28+n+%2B+2+%29+%2B+%283%2F8%29%2A%28+n+%2B+4+%29+=+32+\"$
\n" ); document.write( " $\"+%283%2F5%29%2A20+%2B+%281%2F2%29%2A22+%2B+%283%2F8%29%2A24+=+32+\"$
\n" ); document.write( " $\"+12+%2B+11+%2B+9+=+32+\"$
\n" ); document.write( " $\"+32+=+32+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );