document.write( "Question 665182: for five consecutive integers, the sum of the even integers is 60. what is the value of the smallest odd integer? \n" ); document.write( "
Algebra.Com's Answer #413927 by kevwill(135)![]() ![]() You can put this solution on YOUR website! There are two possibilities to consider here: \n" ); document.write( "1) The five consecutive integers are comprised of 3 odd integers and 2 even integers, or \n" ); document.write( "2) The five consecutive integers are comprised of 3 even integers and 2 odd integers. \n" ); document.write( " \n" ); document.write( "For the first case, call the five consecutive integers, x, x+1, x+2, x+3, and x+4. Then the even integers are x+1 and x+3, so we have: \n" ); document.write( "x+1 + x+3 = 60 \n" ); document.write( "2x + 4 = 60 \n" ); document.write( "2x = 56 \n" ); document.write( "x = 28 \n" ); document.write( "Which would make the two even integers 29 and 31. However, since these are not odd integers, then there is no solution for the first case. \n" ); document.write( " \n" ); document.write( "For the second case, again call the five consecutive integers, x, x+1, x+2, x+3, and x+4. Then the even integers are x, x+2, and x+4, so we have: \n" ); document.write( "x + x+2 + x+4 = 60 \n" ); document.write( "3x + 6 = 60 \n" ); document.write( "3x = 54 \n" ); document.write( "x = 18 \n" ); document.write( "Which makes the three even integers 18, 20, and 22. The odd integers are x+1 and x+3, so \n" ); document.write( " \n" ); document.write( "The value of the smallest odd integer is 19. \n" ); document.write( " \n" ); document.write( " |