document.write( "Question 269228: You wish to split the numbers [1,2,3,4,5,6,7,8] into two sets of 4 numbers, such that the following 2 conditions are satisfied.
\n" ); document.write( "• The sums of the numbers in both sets are equal
\n" ); document.write( "• The sums of the squares of the numbers in both sets are equal
\n" ); document.write( "I have found the two sets of nymbers [1,4,6,7] and [2,3,5,8] but i cannot find a relationship between the sets that will enable me to split the original list.\r
\n" ); document.write( "\n" ); document.write( "Help please !! \n" ); document.write( "

Algebra.Com's Answer #197335 by dabanfield(803) $\"\"$ $\"About$

You can put this solution on YOUR website!
You've actually solved the problem. The numbers in the two sets need to add up to a common total and their squares also need to add to a common total:\r
\n" ); document.write( "\n" ); document.write( "Set A = {1,4,6,7}
\n" ); document.write( "Set B = {2,3,5,8}\r
\n" ); document.write( "\n" ); document.write( "Sum of A's elements is 1+4+6+7 = 18
\n" ); document.write( "Sum of B's elements is 2+3+5+8 = 18\r
\n" ); document.write( "\n" ); document.write( "Squares of A = {1,16,36,49}
\n" ); document.write( "Squares of B = {4,9,25,64}\r
\n" ); document.write( "\n" ); document.write( "Sum of A squares is 1+16+36+49 = 102
\n" ); document.write( "Sum of B squares is 4+9+25+64 = 102 \n" ); document.write( "

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