document.write( "Question 121478: The sum of two consecutive even numbers is 622. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #89131 by HyperBrain(694) $\"\"$ $\"About$

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notice that the difference of any two consecutive even (or odd) integers is always 2. evidence----2 and 4 are consecutive even integers and 4-2=2.\r
\n" ); document.write( "\n" ); document.write( "So, if x is the smaller number, then x+2 is the larger number\r
\n" ); document.write( "\n" ); document.write( "And, their sum is\r
\n" ); document.write( "\n" ); document.write( "x+(x+2)\r
\n" ); document.write( "\n" ); document.write( "Given that the sum of two consecutive even numbers is 622, then\r
\n" ); document.write( "\n" ); document.write( "x+(x+2)=622
\n" ); document.write( "(x+x)+2=622
\n" ); document.write( "2x+2=622
\n" ); document.write( "2x+2-2=622-2
\n" ); document.write( "2x+0=620
\n" ); document.write( "2x=620
\n" ); document.write( "x=310\r
\n" ); document.write( "\n" ); document.write( "As expected, x is an even number\r
\n" ); document.write( "\n" ); document.write( "So,
\n" ); document.write( "x+2=310+2=312\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thus,
\n" ); document.write( "if the sum of two consecutive even numbers is 622, then the numbers are 310 and 312.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain! \n" ); document.write( "

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