document.write( "Question 253772: The sum of two numbers is 27. If the smaller is divided by the larger number, the fraction reduces to 4/5. Find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #186107 by palanisamy(496)\"\" \"About 
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Let the two numbers be x and y.
\n" ); document.write( "Given, their sum x+y = 27 ...(1)
\n" ); document.write( "If the smaller is divided by the larger number, the fraction reduces to 4/5
\n" ); document.write( " x/y = 4/5
\n" ); document.write( " 5x = 4y
\n" ); document.write( " 5x-4y = 0 ...(2)
\n" ); document.write( "(1)*4=> 4x+4y = 108 ...(3)
\n" ); document.write( "(2)+(3)=> 9x = 108
\n" ); document.write( " x = 108/9
\n" ); document.write( " x = 12
\n" ); document.write( "Substituting in (1), we get
\n" ); document.write( " 12+y = 27
\n" ); document.write( " y = 27-12
\n" ); document.write( " y = 15
\n" ); document.write( "So the numbers are 12 and 15 \n" ); document.write( "
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