document.write( "Question 652993: One positive number Is 5 times another number. The difference between the two numbers is 304. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #408194 by Shana-D77(132) $\"\"$ $\"About$

You can put this solution on YOUR website!
\"One positive number Is 5 times another number.\"\r
\n" ); document.write( "\n" ); document.write( "Ok, so let the numbers be x and y.
\n" ); document.write( "I'll say that x is the bigger number:\r
\n" ); document.write( "\n" ); document.write( "x = 5y\r
\n" ); document.write( "\n" ); document.write( "\"The difference between the two numbers is 304. Find the numbers.\"\r
\n" ); document.write( "\n" ); document.write( "x - y = 304\r
\n" ); document.write( "\n" ); document.write( "Because x = 5y is solved for x, let's solve the second equation for x, too.\r
\n" ); document.write( "\n" ); document.write( "x = 304 + y (aded y to both sides)\r
\n" ); document.write( "\n" ); document.write( "Because both equations are now solved for x (both =x), they're equal to each other by the transitive property. So, \r
\n" ); document.write( "\n" ); document.write( "5y = 304 + y
\n" ); document.write( "4y = 304 (subtracted y from both sides)
\n" ); document.write( "y = 76\r
\n" ); document.write( "\n" ); document.write( "Because x = 5y, x = 5(76) = 380\r
\n" ); document.write( "\n" ); document.write( "(380, 76) \n" ); document.write( "

\n" );