document.write( "Question 56851: Find three consecutive odd integers such that the sum of the smallest and 4 times the largest is 61. \n" ); document.write( "
Algebra.Com's Answer #38610 by Scriptor(36)![]() ![]() ![]() You can put this solution on YOUR website! Call your first odd number 2n+1 , the second one 2n+3 and the last one 2n+5\r \n" ); document.write( "\n" ); document.write( "Since the sum of the smallest and 4 times the largest is 61, we get that:\r \n" ); document.write( "\n" ); document.write( "(2n+1) + 4(2n+5) = 61\r \n" ); document.write( "\n" ); document.write( "2n + 1 + 8n + 20 = 61\r \n" ); document.write( "\n" ); document.write( "10n = 40\r \n" ); document.write( "\n" ); document.write( "n =4 => 2n+1 = 9\r \n" ); document.write( "\n" ); document.write( "Answer: 9,11,13\r \n" ); document.write( "\n" ); document.write( "Note: we could have solved it with x instead of 2n+1, but I wanted to show clear that it is an odd number. \n" ); document.write( " \n" ); document.write( " |