document.write( "Question 78165: the sum of 3 consecutive integrals numbers is 117. find the numbers \n" ); document.write( "
Algebra.Com's Answer #56060 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
If we call the first unknown integer x, then the next greater integer is x+1, and the next
\n" ); document.write( "greater integer is (x+1)+1 which is x+2.
\n" ); document.write( ".
\n" ); document.write( "According to the problem, the sum of these three consecutive integers is 117. In equation
\n" ); document.write( "form the sum is:
\n" ); document.write( ".
\n" ); document.write( "x + (x+1) + (x+2) = 117
\n" ); document.write( ".
\n" ); document.write( "with the parentheses just being used to help identify the three integers. Since each set
\n" ); document.write( "of parentheses is preceded by a plus sign, the parentheses can just be erased without
\n" ); document.write( "changing the terms within. This makes the equation:
\n" ); document.write( ".
\n" ); document.write( "x + x + 1 + x + 2 = 117
\n" ); document.write( ".
\n" ); document.write( "combine the x terms to get:
\n" ); document.write( ".
\n" ); document.write( "3x + 1 + 2 = 117
\n" ); document.write( ".
\n" ); document.write( "next combine the constants on the left side to get:
\n" ); document.write( ".
\n" ); document.write( "3x + 3 = 117
\n" ); document.write( ".
\n" ); document.write( "eliminate the +3 on the left side by subtracting 3. But if you subtract 3 on the left
\n" ); document.write( "side, you must also subtract 3 from the right side. When you make these two subtractions
\n" ); document.write( "the equation becomes:
\n" ); document.write( ".
\n" ); document.write( "3x = 114
\n" ); document.write( ".
\n" ); document.write( "solve for x by dividing both sides by 3 to get:
\n" ); document.write( ".
\n" ); document.write( "x = 114/3 = 38
\n" ); document.write( ".
\n" ); document.write( "this means that the first integer in the series is 38. So the second integer is 39 and the
\n" ); document.write( "next is 40.
\n" ); document.write( ".
\n" ); document.write( "Check by adding 38, 39, and 40. The total of these integers is 117, just as the problem
\n" ); document.write( "required it to be. Our answer check ... three consecutive integers that add up to be 117.
\n" ); document.write( ".
\n" ); document.write( "Hope this helps you to understand the problem and how to set up consecutive integers. \n" ); document.write( "
\n" );