document.write( "Question 1172321: The integers 1, 2, 3, ...., 40 are written on white board. An operation is then repeated 39 times. In each repetition any two numbers say a and b currently on white board are erased and new number a + b -1 is written. What will be the number left on white board at the end? \n" ); document.write( "
Algebra.Com's Answer #797325 by ikleyn(52795)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Edwin provided a brilliant starting idea in his post.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I came to complete/(to fix) his solution accurately.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the operation was repeated 39 times, then the SINGLE number which left on the board, is 820 - 39.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "After the 39-th step/operation, there is NOTHING to do; the algorithm does not work further, \n" ); document.write( "and the 40-th step can not be done (and is not assumed to be done).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the final number is 820-39 = 781. ANSWER\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |