document.write( "Question 944391: whats the consecutive odd numbers such that the sum of the first and the second is 31 less than 3 times the third? \n" ); document.write( "
Algebra.Com's Answer #575808 by macston(5194)![]() ![]() You can put this solution on YOUR website! F, S, and T are First, Second, and Third consecutive numbers. \n" ); document.write( "S=F+2; T=F+4 \n" ); document.write( "F+S=3T-31 Substitute for S and T, solve for F \n" ); document.write( "F+F+2=3(F+4)-31 \n" ); document.write( "2F+2=3F+12-31 \n" ); document.write( "2F+2=3F-19 Add 19 to each side \n" ); document.write( "2F+21=3F Subtract 2F from each side \n" ); document.write( "21=F ANSWER first number is 21. \n" ); document.write( "S=F+2=21+2=23 ANSWER Second number is 23. \n" ); document.write( "T=F+4=21+4=25 ANSWER Third number is 25. \n" ); document.write( "CHECK \n" ); document.write( "Sum of first and second is 31 less than 3 times third. \n" ); document.write( "F+S=3T-31 \n" ); document.write( "21+23=3(25)-31 \n" ); document.write( "44=75-31 \n" ); document.write( "44=44 \n" ); document.write( " |