document.write( "Question 378574: Find three consecutive interges such that the sum of twice the smalles and 3 times the largest is 126 \n" ); document.write( "
Algebra.Com's Answer #268895 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let x = smallest integer \n" ); document.write( "x+1 = middle integer \n" ); document.write( "x+2= largest integer\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation is in the sentence \"the sum of twice the smallest and 3 times the largest is 126\". Translated, this means\r \n" ); document.write( "\n" ); document.write( "2( ) + 3( ) = 126 \n" ); document.write( "2(x) + 3(x+2)=126 \n" ); document.write( "2x + 3x+6 = 126 \n" ); document.write( "5x+6=126 \n" ); document.write( "5x=120 \n" ); document.write( "x=120/5=24 smallest \n" ); document.write( "x+1=25 middle \n" ); document.write( "x+2=26 largest\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \r \n" ); document.write( "\n" ); document.write( "2*24 + 3*26 \n" ); document.write( "48 + 78 \n" ); document.write( "126\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It checks!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For a complete explanation of WORD PROBLEMS of various kinds, please see my own website. Click on my tutor name anywhere in algebra.com, and then click on my website that is given there. Look for the link \"Basic, Intermediate, and College Algebra: One Step at a Time\" and select \"Basic Algebra\", \"Chapter 1\". My explanations were written for students who have trouble understanding math, and according to my own students they are a LOT easier to understand than traditional textbooks.\r \n" ); document.write( "\n" ); document.write( "In addition, please look for my detailed SOLUTIONS to many of these exercises which are solved in the MATH IN LIVING COLOR pages that are found in the website!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida \n" ); document.write( "Altamonte Springs Campus \n" ); document.write( " |