document.write( "Question 496726: please help me answer this word problem:the sum of two consecutive integers is 203. what are the integers?
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Algebra.Com's Answer #336672 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Let N represent the first unknown integer. The next consecutive integer is one more than N, so it can be represented as N + 1. \n" ); document.write( ". \n" ); document.write( "If you add these two consecutive integers the problem tells you that their sum is 203. In equation form you can write this as: \n" ); document.write( ". \n" ); document.write( "N + N + 1 = 203 \n" ); document.write( ". \n" ); document.write( "Eliminate the +1 on the left side by adding -1 to both sides: \n" ); document.write( ". \n" ); document.write( "N + N + 1 - 1 = 203 - 1 \n" ); document.write( ". \n" ); document.write( "On the left side the +1 and the -1 cancel each other and on the right side the 203 - 1 equals 202. Making these adjustments results in the equation becoming: \n" ); document.write( ". \n" ); document.write( "N + N = 202 \n" ); document.write( ". \n" ); document.write( "Combine the two terms on the left side to get: \n" ); document.write( ". \n" ); document.write( "2N = 202 \n" ); document.write( ". \n" ); document.write( "Solve for N by dividing both sides by the multiplier of N which is 2 to get: \n" ); document.write( ". \n" ); document.write( "N = 202/2 = 101 \n" ); document.write( ". \n" ); document.write( "So N is 101 and the next consecutive integer has to be 1 more than N so it is 102. \n" ); document.write( ". \n" ); document.write( "Check that 101 + 102 does equal 203. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( ". \n" ); document.write( " |