document.write( "Question 264997: Two numbers are in the ratio 3:7. Two fifths of their sum is 32. Find the numbers.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #194995 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Two numbers are in the ratio 3:7.
\n" ); document.write( "Two fifths of their sum is 32.
\n" ); document.write( " Find the numbers.
\n" ); document.write( ":
\n" ); document.write( "Let x = the multiplier
\n" ); document.write( "then
\n" ); document.write( "3x = one number
\n" ); document.write( "and
\n" ); document.write( "7x = the other number
\n" ); document.write( ":
\n" ); document.write( "\"Two fifths of their sum is 32.\"
\n" ); document.write( " $\"2%2F5\"$ (3x + 7x) = 32
\n" ); document.write( ":
\n" ); document.write( " $\"2%2F5\"$ (10x) = 32
\n" ); document.write( ":
\n" ); document.write( "4x = 32
\n" ); document.write( "x = $\"32%2F4\"$
\n" ); document.write( "x = 8 is the multiplier
\n" ); document.write( ":
\n" ); document.write( "3(8) = 24 is one number
\n" ); document.write( "7(8) = 56 is the other number
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Is this true?
\n" ); document.write( " $\"2%2F5\"$ (24 + 56) =
\n" ); document.write( " $\"2%2F5\"$ (80) = 32, it is.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );