document.write( "Question 1138625: a positive integer when divided by 88 gives the remainder 61. what will be the remainder when the same number is divided by 11 \n" ); document.write( "
Algebra.Com's Answer #756423 by ikleyn(52776)\"\" \"About 
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document.write( "Let \"n\" be that integer number.\r\n" );
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document.write( "We are given that  (n-61) is divisible by 88.\r\n" );
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document.write( "Hence,  (n-61) is divisible by 11.\r\n" );
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document.write( "It is the same as to say that ((n-55)-6) is divisible by 11.     (*)\r\n" );
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document.write( "Since 55 is divisible by 11, (*) implies that (n-6) is divisible by 11.\r\n" );
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document.write( "It means that the number n gives the remainder 6 when is divided by 11.\r\n" );
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document.write( "ANSWER.  The remainder when the same number is divided by 11 equals to 6.\r\n" );
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