document.write( "Question 784548: The sum of two numbers is 36. If the larger number is divided by the smaller number the quotient is 2 and the remainder is 3. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #477184 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of two numbers is 36. \n" ); document.write( "a + b = 36 \n" ); document.write( ": \n" ); document.write( " If the larger number is divided by the smaller number, the quotient is 2 and the remainder is 3. \n" ); document.write( " \n" ); document.write( "multiply both sides by b \n" ); document.write( "a - 3 = 2b \n" ); document.write( "or \n" ); document.write( "a - 2b = 3 \n" ); document.write( ": \n" ); document.write( "Use elimination here, subtract the above from the 1st equation \n" ); document.write( "a + b = 36 \n" ); document.write( "a - 2b = 3 \n" ); document.write( "---------------subtracting eliminates a find b \n" ); document.write( "3b = 33 \n" ); document.write( "b = 33/3 \n" ); document.write( "b = 11 \n" ); document.write( ": \n" ); document.write( "I'll let you find a \n" ); document.write( "Check your solutions in both statements\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |