document.write( "Question 1030513: The sum of three integers is
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document.write( "397. The sum of the first and second integers exceeds the third by
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document.write( "35. The third integer is
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document.write( "5 less than the first. Find the three integers.
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Algebra.Com's Answer #645384 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The sum of three integers is 397. \n" ); document.write( "a + b + c = 397 \n" ); document.write( " The sum of the first and second integers exceeds the third by 35. \n" ); document.write( "a + b = c + 35 \n" ); document.write( " The third integer is 5 less than the first. \n" ); document.write( "c = a - 5 \n" ); document.write( ": \n" ); document.write( "Replace c with (a-5) in the 1st and the 2nd equation \n" ); document.write( "a + b + (a-5) = 397 \n" ); document.write( "2a + b = 397 + 5 \n" ); document.write( "2a + b = 402 \n" ); document.write( "and \n" ); document.write( "a + b = (a-5) + 35 \n" ); document.write( "a - a + b = 35 -5 \n" ); document.write( "b = 30 \n" ); document.write( ": \n" ); document.write( "In the equation 2a +b = 402, replace b with 30 \n" ); document.write( "2a + 30 = 402 \n" ); document.write( "2a = 372 \n" ); document.write( "a = 372/2 \n" ); document.write( "a = 186 \n" ); document.write( "then \n" ); document.write( "c = 186 - 5 \n" ); document.write( "c = 181 \n" ); document.write( ": \n" ); document.write( "Check this in the first equation \n" ); document.write( "186 + 30 + 181 = 397 \n" ); document.write( ": \n" ); document.write( " Find the three integers. 186, 30, 181 \n" ); document.write( " |