document.write( "Question 121669: Find two consecutive odd numbers such that the sum of three-sevenths of the first number and one-third of the second number is equal to thirty-eight. \n" ); document.write( "
Algebra.Com's Answer #89375 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! LET X & X+2 BE THE 2 CONSECUTIVE ODD NUMBERS. \n" ); document.write( "3X/7+(X+2)/3=38 \n" ); document.write( "[3*3X+7(X+2)]/3*7=38 \n" ); document.write( "[9X+7X+14]/21=38 CROSS MULTIPLY \n" ); document.write( "16X+14=21*38 \n" ); document.write( "16X=798-14 \n" ); document.write( "16X=784 \n" ); document.write( "X=784/16 \n" ); document.write( "X=49 THE SMALLER ODD NUMBER \n" ); document.write( "49+2=51 THE LARGER ODD NUMBER. \n" ); document.write( "PROOF \n" ); document.write( "3*49/7+51/3=38 \n" ); document.write( "3*7+17=38 \n" ); document.write( "21+17=38 \n" ); document.write( "38=38\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |