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)![]() ![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |