document.write( "Question 234024: how can i solve this word problem?:
\n" ); document.write( "one number is 4 less than another number. the sum of the two numbers if four times their difference. what are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #172837 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
: how can i solve this word problem?:
\n" ); document.write( "one number is 4 less than another number. the sum of the two numbers if four times their difference. what are the two numbers?
\n" ); document.write( ":
\n" ); document.write( "Two numbers: x & y
\n" ); document.write( ";
\n" ); document.write( "Just write an equation for what it says:
\n" ); document.write( ":
\n" ); document.write( "\"one number is 4 less than another number.\"
\n" ); document.write( "x = y - 4
\n" ); document.write( ":
\n" ); document.write( "\" the sum of the two numbers is four times their difference.\"
\n" ); document.write( "x + y = 4(x - y)
\n" ); document.write( "x + y = 4x - 4y
\n" ); document.write( "y + 4y = 4x - x
\n" ); document.write( "5y = 3x
\n" ); document.write( ":
\n" ); document.write( " what are the two numbers?
\n" ); document.write( "From the 1st statement, replace x with (y-4) in the above equation:
\n" ); document.write( "5y = 3(y - 4)
\n" ); document.write( "5y = 3y - 12
\n" ); document.write( "5y - 3y = -12
\n" ); document.write( "2y = -12
\n" ); document.write( "y = -6
\n" ); document.write( ";
\n" ); document.write( "Find x
\n" ); document.write( "x = -6 - 4
\n" ); document.write( "x = -10
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Is this true, does 5y = 3x
\n" ); document.write( "5(-6) = 3(-10)
\n" ); document.write( ":
\n" ); document.write( "Check in the statement:
\n" ); document.write( "the sum of the two numbers is four times their difference.\"
\n" ); document.write( "-10 - 6 = 4(-10 -(-6))
\n" ); document.write( "-16 = 4(-10 + 6)
\n" ); document.write( "-16 = 4(-4) \n" ); document.write( "
\n" );