document.write( "Question 777875: the difference between two positive integers is 50 and the ratio of these integers is 1 : 3 . find these integers
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #474301 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
let the numbers be x & y (x>y)\r
\n" ); document.write( "\n" ); document.write( "x-y=50
\n" ); document.write( "x/y = 1/3
\n" ); document.write( "3x=y
\n" ); document.write( "3x-y=0\r
\n" ); document.write( "\n" ); document.write( "1 x + 1 y = 50.00 .............1
\n" ); document.write( "Family II
\n" ); document.write( "3 x -2 y = 0.00 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 2
\n" ); document.write( "Multiply (2) by 1
\n" ); document.write( "2 x 2 y = 100.00
\n" ); document.write( "3 x -2 y = 0.00
\n" ); document.write( "Add the two equations
\n" ); document.write( "5 x = 100.00
\n" ); document.write( "/ 5
\n" ); document.write( "x = 20
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1 x + 1 y = 50.00
\n" ); document.write( "20 + y = 50.00
\n" ); document.write( " y = 50.00 -20
\n" ); document.write( " y = 30.00
\n" ); document.write( " y = 30.00
\n" ); document.write( "
\n" ); document.write( "
\n" );