document.write( "Question 74306: find four consecutive integers such that the sum of the second and the fourth is seventeen less than thrice the first. \n" ); document.write( "
Algebra.Com's Answer #53297 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! find four consecutive integers such that the sum of the second and the fourth is seventeen less than thrice the first. \n" ); document.write( "Let the 1st integer be: x \n" ); document.write( "Then the 2nd integer is: x+1 \n" ); document.write( "Then the 3rd integer is: x+1+1=x+2 \n" ); document.write( "Then the 4th integer is: x+1+1+1=x+3 \n" ); document.write( "Sum means:+ \n" ); document.write( "17 less means: -17 \n" ); document.write( "thrice means: 3* \n" ); document.write( "Problem to solve: \n" ); document.write( "(x+1)+(x+3)=3(x)-17 \n" ); document.write( "x+1+x+3=3x-17 \n" ); document.write( "2x+4=3x-17 \n" ); document.write( "2x-2x+4=3x-2x-17 \n" ); document.write( "4=x-17 \n" ); document.write( "4+17=x-17+17 \n" ); document.write( "21=x \n" ); document.write( "The first integer is: x=21 \n" ); document.write( "the second is: x+1=21+1=22 \n" ); document.write( "the third is: x+2=21+2=23 \n" ); document.write( "the fourth is: x+3=21+3=24 \n" ); document.write( "Sanity check: \n" ); document.write( "If we add the 2nd and 4th, do we get 3 times the 1st minus 17? \n" ); document.write( "22+24=3(21)-17 \n" ); document.write( "46=63-17 \n" ); document.write( "46=46 \n" ); document.write( "We seam to be right. \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " |