document.write( "Question 241291: Find 3 consecutive integers such that the sum of the first and second is equal to three times the third integer. \n" ); document.write( "

Algebra.Com's Answer #176728 by College Student(505) $\"\"$ $\"About$

You can put this solution on YOUR website!
Since we need to find three consecutive integers, let:
\n" ); document.write( "x = integer
\n" ); document.write( "x+1 = consecutive integer
\n" ); document.write( "x+2 = the next consecutive integer
\n" ); document.write( ".
\n" ); document.write( "The problem also tells us the sum of the first and second x + x+1
\n" ); document.write( "is equal to three times the third integer = 3(x+2)
\n" ); document.write( ".
\n" ); document.write( "The equation then becomes:
\n" ); document.write( " $\"x%2B%28x%2B1%29=3%28x%2B2%29\"$
\n" ); document.write( " $\"2x%2B1=3x%2B6\"$
\n" ); document.write( "Now solve for x to determine the first integer.
\n" ); document.write( "Add 1 to find its consecutive integer and increse it by 1 more to find the third one.
\n" ); document.write( ".
\n" ); document.write( "Plug in the x value in the original equation and solve to ensure the answers make sense.
\n" ); document.write( ".
\n" ); document.write( "Done! \n" ); document.write( "

\n" );