document.write( "Question 1048015: Five time the sum of three consecutive integers is 1 less than 14 times the largest integer. Find the integers \n" ); document.write( "
Algebra.Com's Answer #663571 by mathslover(157)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let x-1,x and x+1 be the 3 consecutive integers,\r \n" ); document.write( "\n" ); document.write( "From the given condition, \n" ); document.write( "Five time the sum of three consecutive integers is 1 less than 14 times the largest integer\r \n" ); document.write( "\n" ); document.write( "5(x-1 + x + x+1)= 14(x+1)-1 \n" ); document.write( "=>5 * 3x=14x +14 -1 \n" ); document.write( "=>15x=14x+13 \n" ); document.write( "Grouping the like terms, \n" ); document.write( "15x-14x=13 \n" ); document.write( "x=13\r \n" ); document.write( "\n" ); document.write( "Hence the consecutive integers are 12, 13 and 14 { x-1, x, x+1} \n" ); document.write( " |