document.write( "Question 80011: betty is thinking of two consecutive integer whose sum is 41. Let x represnt the smaller unknown integer.\r
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document.write( "a. How could you represnt the larger unknown integer in terms of x? \n" );
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Algebra.Com's Answer #57424 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Since the integers are consecutive, if the smaller integer is x then the next integer \n" ); document.write( "has to be one greater than x. So we can represent the two integers as x and x+1. Since \n" ); document.write( "the sum of the two integers is 41 we can write: \n" ); document.write( ". \n" ); document.write( "x + (x + 1) = 41 \n" ); document.write( ". \n" ); document.write( "Remove the parentheses on the left side to make the equation: \n" ); document.write( ". \n" ); document.write( "x + x + 1 = 41 \n" ); document.write( ". \n" ); document.write( "Combine the two x's to get: \n" ); document.write( ".2x + 1 = 41 \n" ); document.write( ". \n" ); document.write( "Subtract 1 from both sides to eliminate the 1 on the left side. This results in: \n" ); document.write( ". \n" ); document.write( "2x = 40 \n" ); document.write( ". \n" ); document.write( "Divide both sides by 2 to solve for x and the result is: \n" ); document.write( ". \n" ); document.write( "x = 40/2 = 20 \n" ); document.write( ". \n" ); document.write( "Since the two integers are x and x + 1, the integers are 20 and 20 + 1 or 20 and 21. \n" ); document.write( ". \n" ); document.write( "If you add 20 and 21, you find that the sum of these two consecutive integers equals 41, \n" ); document.write( "just as the problem required. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem a little better ... \n" ); document.write( " \n" ); document.write( " |