document.write( "Question 903913: If 3 times the larger of the 2 numbers is divided by the smaller one, we get 4 as quotient and 3 as remainder. Also, if 7 times the smaller is divided by the larger one, we get 5 as quotient and 1 as remainder. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #548391 by mananth(16946)\"\" \"About 
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let larger number be x
\n" ); document.write( "and smaller number be y\r
\n" ); document.write( "\n" ); document.write( "First condition\r
\n" ); document.write( "\n" ); document.write( "Dividend = divsor * quotient + remainder
\n" ); document.write( "3x= y*4+3\r
\n" ); document.write( "\n" ); document.write( "3x=4y+3
\n" ); document.write( "3x-4y=3\r
\n" ); document.write( "\n" ); document.write( "second condition
\n" ); document.write( "7y=5x+1\r
\n" ); document.write( "\n" ); document.write( "7y-5x=1\r
\n" ); document.write( "\n" ); document.write( "3 x -4 y = 3 .............1
\n" ); document.write( "
\n" ); document.write( "-5 x + 7 y = 1 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by 7
\n" ); document.write( "Multiply (2) by 4
\n" ); document.write( "21 x -28 y = 21
\n" ); document.write( "-20 x + 28 y = 4
\n" ); document.write( "Add the two equations
\n" ); document.write( "1 x = 25
\n" ); document.write( "/ 1
\n" ); document.write( "x = 25
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "3 x -4 y = 3
\n" ); document.write( "75 -4 y = 3
\n" ); document.write( " -4 y = 3 -75
\n" ); document.write( " -4 y = -72
\n" ); document.write( " y = 18 1
\n" ); document.write( "x= 25
\n" ); document.write( "y= 18
\n" ); document.write( "m.ananth@hotmail.ca \r
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