document.write( "Question 544738: i am a special ed student in college and i am having a hard time figuring this problem out. two numbers total 57 and have a difference of 9. \n" ); document.write( "
Algebra.Com's Answer #355205 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Let a = one of the numbers\r \n" ); document.write( "\n" ); document.write( "Let b = the other number\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b = 57 \n" ); document.write( "a - b = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We have a system of linear equations in two variables.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See above that +b and -b cancel out. See it? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then we add a + a = 2a.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2a = 57 + 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2a = 66\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 66/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 33\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find the other number, replace a with 33 in either of the equations above and solve for b. I will use a + b = 57 but you can use the other if you'd like.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b = 57\r \n" ); document.write( "\n" ); document.write( "Let a = 33\r \n" ); document.write( "\n" ); document.write( "33 + b = 57\r \n" ); document.write( "\n" ); document.write( "b = 57 - 33\r \n" ); document.write( "\n" ); document.write( "b = 24\r \n" ); document.write( "\n" ); document.write( "The two numbers are 24 and 33.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |