document.write( "Question 2819: Help! The sum of two integers is 10. Three times the larger integer is three less than eight times the smaller integer. Find the integers. \n" ); document.write( "
Algebra.Com's Answer #1204 by kiru_khandelwal(79)\"\" \"About 
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Let the two integers be x and y\r
\n" ); document.write( "\n" ); document.write( "Sum of two integers = 10
\n" ); document.write( "=> x+y = 10.......eq(1)\r
\n" ); document.write( "\n" ); document.write( "Let x > y
\n" ); document.write( "So , three time the larger integer is three less then eight times the smaller integer
\n" ); document.write( "=> 3x = 8y -3........eq(2)\r
\n" ); document.write( "\n" ); document.write( "From equation(1)
\n" ); document.write( "x = 10-y\r
\n" ); document.write( "\n" ); document.write( "substituting the value of x in eq(2)
\n" ); document.write( "3(10-y) = 8y -3
\n" ); document.write( "=> 30 -3y = 8y -3
\n" ); document.write( "=> 33 = 11y
\n" ); document.write( "=> y = 3
\n" ); document.write( "substituting the value of y in eq(1) to get value of x
\n" ); document.write( "=> x = 10-3 =7\r
\n" ); document.write( "\n" ); document.write( "So the two integers are 7 and 3
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