document.write( "Question 1005661: The difference between two numbers is 31. Four times the smaller is equal to 8 more than the larger. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #621824 by Cromlix(4381) $\"\"$ $\"About$

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The difference between two numbers is 31
\n" ); document.write( "x - y = 31.......(1)
\n" ); document.write( "Four times the smaller is equal to 8 more
\n" ); document.write( "than the larger.
\n" ); document.write( "4y = 8 + x........(20
\n" ); document.write( "Using Equation (1)
\n" ); document.write( "x - y = 31
\n" ); document.write( "x = 31 + y
\n" ); document.write( "Substitute x = 31 + y into equation(2)
\n" ); document.write( "4y = 8 +(31 + y)
\n" ); document.write( "4y = 8 + 31 + y
\n" ); document.write( "Collect like terms:
\n" ); document.write( "4y - y = 8 + 31
\n" ); document.write( "3y = 39
\n" ); document.write( "y = 13
\n" ); document.write( "Substitute y = 13 into Equation (1)
\n" ); document.write( "x - y = 31
\n" ); document.write( "x - 13 = 31
\n" ); document.write( "x = 31 + 13
\n" ); document.write( "x = 44
\n" ); document.write( "Numbers are 44 and 13
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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