document.write( "Question 406297: one number divided by 6 is 37 less than another number. if the difference between the two numbers is 28, what are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #286819 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! one number divided by 6 is 37 less than another number. \n" ); document.write( " if the difference between the two numbers is 28, what are the two numbers? \n" ); document.write( ": \n" ); document.write( "Let x = one number \n" ); document.write( "Let y = another number \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"one number divided by 6 is 37 less than another number.\" \n" ); document.write( " \n" ); document.write( "Multiply both sides by 6 \n" ); document.write( "x = 6(y-37) \n" ); document.write( "x = 6y - 222 \n" ); document.write( ": \n" ); document.write( "\" if the difference between the two numbers is 28,\" \n" ); document.write( "x - y = 28 \n" ); document.write( "x = (y+28) \n" ); document.write( ": \n" ); document.write( "Replace x with (y+28) in the 1st equation \n" ); document.write( "y + 28 = 6y - 222 \n" ); document.write( "28 + 222 = 6y - y \n" ); document.write( "250 = 5y \n" ); document.write( "y = \n" ); document.write( "y = 50 \n" ); document.write( ": \n" ); document.write( "Then \n" ); document.write( "x = 50 + 28 \n" ); document.write( "x = 78 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that flies in the statement: \n" ); document.write( "\"one number divided by 6 is 37 less than another number. \" \n" ); document.write( " \n" ); document.write( "13 = 13, confirms our solutions of x=78. y=50 \n" ); document.write( " \n" ); document.write( " |