document.write( "Question 1185610: The sum of three numbers is 32. Twice the first minus the second is 5 less than the third. The third is the second minus three times the first. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #816439 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The sum of three numbers is 32. Twice the first minus the second is 5 less than the third. The third is the second minus three times the first. Find the numbers. \n" ); document.write( "========================= \n" ); document.write( "F + S + T = 32 \n" ); document.write( "2F - S = T - 5 \n" ); document.write( "T = S - 3F \n" ); document.write( "----- \n" ); document.write( "Sub for T in the 1st 2 equations. \n" ); document.write( "--- \n" ); document.write( "F + S + S - 3F = 32 \n" ); document.write( "-2F + 2S = 32 ---> F - S = -16 ---> F = S-16 \n" ); document.write( "---- \n" ); document.write( "2F - S = S - 3F - 5 ---> 5F - 2S = -5 \n" ); document.write( "---- \n" ); document.write( "F = S-16 \n" ); document.write( "5F - 2S = -5 \n" ); document.write( "Sub for F \n" ); document.write( "5(S-16) - 2S = -5 \n" ); document.write( "3S - 80 = -5 \n" ); document.write( "S = 25 \n" ); document.write( "============ \n" ); document.write( "F = 9 \n" ); document.write( "T = -2 \n" ); document.write( "9, 25, -2 are the 3 numbers in order \n" ); document.write( " |