document.write( "Question 1144834: How many numbers between 312 and 427 are divisible by 3? \n" ); document.write( "

Algebra.Com's Answer #766005 by ikleyn(52792) $\"\"$ $\"About$

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document.write( "Notice that 312 is divisible by 3, while 427 is not.\r\n" );
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document.write( "Every third number from 312 to 427 is divisible by 3.\r\n" );
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document.write( "    (The precise meaning of the previous phrase is that among every group of three consecutive integer numbers \r\n" );
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document.write( "      exactly one is divisible by 3).\r\n" );
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document.write( "The number of consecutive disjoint triples of integer numbers from 312 to 427 is the integer part of the \r\n" );
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document.write( "number   = 38.67, i.e. 38.\r\n" );
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document.write( "It gives you the \r\n" );
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document.write( "ANSWER.  There are 38 integer numbers between 312 and 427, divisible by 3.\r\n" );
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document.write( "CHECK.  (312-1) + 3*38 = 425.\r\n" );
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