document.write( "Question 773519: find four consecutive odd integers such that twice the sum of the third and fourth integer exceeds three times the first by eighty-seven \n" ); document.write( "
Algebra.Com's Answer #471634 by pakhi(24)![]() ![]() You can put this solution on YOUR website! Let the four consecutive odd numbers be (2n-3),(2n-1),(2n+1),(2n+3) \n" ); document.write( "So according to the condition of the problem \n" ); document.write( " 2{(2n+1)+(2n+3)} - 3(2n-3) = 87 \n" ); document.write( "or 2(4n+4) - 6n + 9 = 87 \n" ); document.write( "or 8n + 8 - 6n + 9 = 87 \n" ); document.write( "or 2n + 17 = 87 \n" ); document.write( "or 2n = 87 - 17 = 70 \n" ); document.write( "or n = 70/2 = 35\r \n" ); document.write( "\n" ); document.write( "Therefore the numbers are \n" ); document.write( "2n-3 = 2*35 - 3 = 70 - 3 = 67 \n" ); document.write( "2n-1 = 2*35 - 1 = 70 - 1 = 69 \n" ); document.write( "2n+1 = 2*35 + 1 = 70 + 1 = 71 \n" ); document.write( "2n+3 = 2*35 + 3 = 70 + 3 = 73 \r \n" ); document.write( "\n" ); document.write( "check: 2(71+73)-3*67 = 2*144-201 =288-201 = 87 \n" ); document.write( " |