document.write( "Question 1142922: Solve for x if 199 + 195 + 191 + ... + 7 + 3 = x + 1 + 5 + ... 189 + 193 + 197. \n" ); document.write( "

Algebra.Com's Answer #763651 by ikleyn(52831) $\"\"$ $\"About$

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document.write( "If\r\n" );
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document.write( "    199 + 195 + 191 + ... + 7 + 3 = x + 1 + 5 + ... 189 + 193 + 197\r\n" );
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document.write( "then (re-group)\r\n" );
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document.write( "    (199-197) + (195-193) + (191-189) + . . . + (7-5) + (3-1) = x,  or\r\n" );
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document.write( "        2     +     2     +     2     + . . . + 2 + 2 = x   \r\n" );
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document.write( "(addend \"2\" repeats   = 49 + 1 = 50 times).\r\n" );
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document.write( "So,  x = 2*50 = 100.      ANSWER\r\n" );
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