document.write( "Question 536873: The sum of three consecutive odd integers is equal to the sum of two times the largest integer and seventy-seven. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #352609 by fcabanski(1391)\"\" \"About 
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Three consecutive odd integers are n, n+2 and n+4


\n" ); document.write( "For example 1, 3, and 5. Note there is a difference of 2 between each consecutive odd integer.


\n" ); document.write( "Sum1: Their sum is n+n+2+n+4 = 3n+6


\n" ); document.write( "The largest integer is n+4 and 2 times the largest integer is 2*(n+4) = 2n+8.


\n" ); document.write( "Sum2: The sum of 2n+8 and 77 is 2n+8+77=2n+85.


\n" ); document.write( "Now we have both sides. Sum1=Sum2:


\n" ); document.write( "3n + 6 = 2n + 85


\n" ); document.write( "Subtract 2n from both sides, and subtract 6 from both sides.


\n" ); document.write( "n=79.


\n" ); document.write( "The consecutive integers are 79, 81, and 83.
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