document.write( "Question 129102: The sum of three numbers is 98. The first number is 2/3 of the second, and the second is 5/8 of the third. What is the second number? \n" ); document.write( "
Algebra.Com's Answer #94371 by checkley71(8403) ![]() You can put this solution on YOUR website! x+y+z=98 \n" ); document.write( "x=2y/3 \n" ); document.write( "y=5z/8 or 5z=8y or z=8y/5 \n" ); document.write( "2y/3+y+8y/5=98 \n" ); document.write( "(5*2y+15y+3*8y)/15=98 \n" ); document.write( "(10y+15y+24y)/15=98 now cross multiply \n" ); document.write( "49y=15*98 \n" ); document.write( "49y=1470 \n" ); document.write( "y=1470/49 \n" ); document.write( "y=30 the second number. \n" ); document.write( "x=2*30/3=60/3=20 for the first number. \n" ); document.write( "30+20+z=98 \n" ); document.write( "50+z=98 \n" ); document.write( "z=98-50 \n" ); document.write( "z=48 the third number. \n" ); document.write( " \n" ); document.write( " |