document.write( "Question 430667: what is twice the first of three consecutive even integers is ten more than the third. find the integers. \n" ); document.write( "

Algebra.Com's Answer #299046 by oberobic(2304) $\"\"$ $\"About$

You can put this solution on YOUR website!
Three consecutive integers could be called x, y and z. But that would make the solution too hard. Instead, then can be called x, x+2, and x+4. Now you have only the unknown x to solve.
\n" ); document.write( ".
\n" ); document.write( "You're also told there is a relationship between the three numbers. Specifically, twice the first number (that is, 2x) is 10 more than the third number (2x = (x+4) + 10).
\n" ); document.write( ".
\n" ); document.write( "2x = x + 14
\n" ); document.write( "Subtract x from both sides
\n" ); document.write( "x = 14
\n" ); document.write( ".
\n" ); document.write( "That suggests the there consecutive even numbers are
\n" ); document.write( "x = 14
\n" ); document.write( "x+2 = 16
\n" ); document.write( "x+4 = 18
\n" ); document.write( ".
\n" ); document.write( "Always check your work.
\n" ); document.write( ".
\n" ); document.write( "2x = 2*14 = 28
\n" ); document.write( "Is that 10 more than the third number?
\n" ); document.write( "Yes, it is.
\n" ); document.write( ".
\n" ); document.write( "Answer: The three consecutive integers are 14, 16, and 18.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

\n" );