document.write( "Question 1168722: I multiplied one whole number by 18. I multiplied a second whole number by 21. I then added the two products . Of the following , which could have been the resulting sum ? .Thanks for any help
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document.write( "Options are —-
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document.write( "A. 1996
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document.write( "B 1997
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document.write( "C 1998
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document.write( "D. 1999 \n" );
document.write( "
Algebra.Com's Answer #793341 by ikleyn(52835)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We start with numbers x and y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The resulting number is 18x + 21y = 3*(6x+7y).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The resulting number is a multiple of 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Of the four given optional numbers, only 1998 is a multiple of 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Other three optional numbers are not multiples of 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So, the only answer is option (C) with the number of 1998.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " The rule of divisibility by 3 is THIS:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " +------------------------------------------------+\r\n" ); document.write( " | a number is divisible by 3 if and only if |\r\n" ); document.write( " | the sum of its digits is divisible by 3. |\r\n" ); document.write( " +------------------------------------------------+\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " For the number 1998 the sum of its digits is 1+9+9+8 = 27.\r\n" ); document.write( "\r\n" ); document.write( " This sum is divisible by 3 - - - so the number 1998 is divisible by 3,\r\n" ); document.write( "\r\n" ); document.write( " while the other three numbers ARE NOT divisible by 3.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "-----------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I answered your question in full, giving a full explanation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On the divisibility rules, see the lessons\r \n" ); document.write( "\n" ); document.write( " - Divisibility by 2 rule \r \n" ); document.write( "\n" ); document.write( " - Divisibility by 3 rule \r \n" ); document.write( "\n" ); document.write( " - Divisibility by 4 rule \r \n" ); document.write( "\n" ); document.write( " - Divisibility by 5 rule \r \n" ); document.write( "\n" ); document.write( " - Divisibility by 6 rule \r \n" ); document.write( "\n" ); document.write( " - Divisibility by 9 rule \r \n" ); document.write( "\n" ); document.write( " - Divisibility by 10 rule \r \n" ); document.write( "\n" ); document.write( " - Divisibility by 11 rule \r \n" ); document.write( "\n" ); document.write( " - Restore the omitted digit in a number in a way that the number is divisible by 9\r \n" ); document.write( "\n" ); document.write( " - Restore the omitted digit in a number in a way that the number is divisible by 11 \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |