document.write( "Question 388315: there are 5 questions of which I am having difficutly. Could you please help me. Thank you so much.
\n" ); document.write( "1.find 3 consecutive integers such as the slum of the first two equals three times the third.
\n" ); document.write( "2. find 2 consecutive integers such that three times the second equals 5 more than the first.
\n" ); document.write( "3. find 3 consecutive odd integers such that the sum of the second and the third equals 3 less than the first.
\n" ); document.write( "4. find 4 consecutive even integers such that the slum of the 3rd and the 4th equals 6 less than 4x the second
\n" ); document.write( "5. find 3 consecutive integers sulch that the slum of all 3 integers equals twice the 2nd. \n" ); document.write( "

Algebra.Com's Answer #274635 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi,         
\n" );
document.write( "Let x, (x+1),(x+2) represent the 1st, 2nd and 3rd consecutive integers(differ by 1), 
\n" );
document.write( "for ex, then proceeding to Write as we Read
\n" );
document.write( "the sum of the first two equals three times the third.
\n" );
document.write( "1.  x + (x+1) =  3(x+2)
\n" );
document.write( "three times the second equals 5 more than the first
\n" );
document.write( "2. (2 consecutive integers) 3(x+1) = x +5
\n" );
document.write( "sum of all 3 integers equals twice the 2nd
\n" );
document.write( "5. x + (x+1) + (x+2)= 2(x+1)\r
\n" );
document.write( "\n" );
document.write( "Odd or even consecutive integers differ by 2
\n" );
document.write( "Let x, (x+2), (x+4), (x+6) etc ... represent them in order 
\n" );
document.write( "for ex, then proceeding to Write as we Read
\n" );
document.write( "sum of the second and the third equals 3 less than the first
\n" );
document.write( " 3. (x+2) + (x+4) = x  -3
\n" );
document.write( "sum of the 3rd and the 4th equals 6 less than 4x the second
\n" );
document.write( " 4. (x+4) + (x+6) = 4(x+2)-6\r
\n" );
document.write( "\n" );
document.write( "solving for x in ease case, will result in naming the integers
\n" );
document.write( "1. x + (x+1) = 3(x+2)
\n" );
document.write( "       2x + 1 = 3x + 6
\n" );
document.write( "           -5 = x   Integers are -5,-4,-3
\n" );
document.write( "2. 3(x+1) = x+5
\n" );
document.write( "   3x + 3 = x + 5
\n" );
document.write( "       2x = 2
\n" );
document.write( "        x = 1  Integers are 1,2,3
\n" );
document.write( "Will leave the rest to for You.  Always recommend checking your answers. \n" );
document.write( "

\n" );