document.write( "Question 205487: Find three consecutive odd numbers such that 1/7 of the first plus 1/3 of the second plus 1/5 of the third is 63. \n" ); document.write( "
Algebra.Com's Answer #155096 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! Let x, x+2, x+4 be the 3 odd numbers. \n" ); document.write( "x/7+(x+2)/3+(x+4)/5=63 \n" ); document.write( "[(15x+35(x+2)+21(x+4)]/105=63 \n" ); document.write( "[15x+35x+70+21x+84]/105=63 \n" ); document.write( "[71x+154)/105=63 \n" ); document.write( "71x+154=63*105 \n" ); document.write( "71x+154=6,615 \n" ); document.write( "71x=6,615-154 \n" ); document.write( "71x=6,461 \n" ); document.write( "x=6,461/71 \n" ); document.write( "x=91 the first number \n" ); document.write( "91+2=93 the second number \n" ); document.write( "91+4=95 the third number \n" ); document.write( "Proof: \n" ); document.write( "91/7+93/3+95/5=63 \n" ); document.write( "13+31+19=63 \n" ); document.write( "63=63 \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |