document.write( "Question 935631: in any six number string ie : 2-23-26-30-40- 49
\n" ); document.write( "the first number plus the sum of the difference between the numbers equal the last number ie 2+20+3+14+10+9= 49
\n" ); document.write( "PLEASE EXPLAIN
\n" ); document.write( "THANK YOU
\n" ); document.write( "JOHN \n" ); document.write( "
Algebra.Com's Answer #568891 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Call the 6 number string:
\n" ); document.write( "a, b, c, d, e, f
\n" ); document.write( "-------------------
\n" ); document.write( "They say that:
\n" ); document.write( "(1) \"+a+%2B+%28+b-a+%29+%2B+%28+c-b+%29+%2B+%28+d-c+%29+%2B+%28+e-d+%29+%2B+%28+f-e+%29+=+f+\"
\n" ); document.write( "Rearrange this:
\n" ); document.write( "\"+%28a+-+a%29+%2B+%28b+-+b%29+%2B+%28c+-+c%29+%2B+%28d+-+d%29+%2B+%28e+-+e%29+%2B+f+=+f+\"
\n" ); document.write( "\"+5%2A0+%2B+f+=+f+\"
\n" ); document.write( "\"+f+=+f+\"
\n" ); document.write( "-------------
\n" ); document.write( "This proves it for any numbers
\n" ); document.write( "Suppose you had a combination of numbers
\n" ); document.write( "and letters:
\n" ); document.write( "2, b, 7, -8, e, -2
\n" ); document.write( "Just plug these values into (1)
\n" ); document.write( "(1) \"+a+%2B+%28+b-a+%29+%2B+%28+c-b+%29+%2B+%28+d-c+%29+%2B+%28+e-d+%29+%2B+%28+f-e+%29+=+f+\"
\n" ); document.write( "(1)
\n" ); document.write( "(1)
\n" ); document.write( "(1) \"+5%2A0+-+2+=+-2+\"
\n" ); document.write( "(1) \"+-2+=+-2+\"
\n" ); document.write( "OK \r
\n" ); document.write( "
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