document.write( "Question 1177211: Hi I'm having a hard time solving this word problem, I hope you could help me with this one. thank you.
\n" ); document.write( "Anne and Jane started a new job on the same day. The job requires field work but they need to work at the home office on a specified day. Ann is to work at the home office every 10 days and Jane is to work at the office every 12 days. On what day will they meet at the office?
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Algebra.Com's Answer #805478 by ikleyn(52793) $\"\"$ $\"About$

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\n" ); document.write( "Anne and Jane started a new job on the same day. The job requires field work but they need to work at the home office
\n" ); document.write( "on a specified day. Ann is to work at the home office every 10-th days and Jane is to work at the office every 12-th days.
\n" ); document.write( "On what day will they meet at the office?
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document.write( "To answer the question, you should find the day (the number) which is multiple of 10 and 12.\r\n" );
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document.write( "More precisely, you need to find least such a number.\r\n" );
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document.write( "Such number is called Least Common Multiple (abbreviation is LCM).\r\n" );
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document.write( "LCM of the numbers 10 and 12 is 60.\r\n" );
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document.write( "To find it, you consider decomposition of the numbers 10 and 12 into the product of prime divisors \r\n" );
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document.write( "    10 = 2*5,  12 = 2^2*3,\r\n" );
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document.write( "and take then the product of these prime divisors  2, 3 and 5 in maximum degrees\r\n" );
document.write( "which you see in their decompositions  LCM = 2^2^3*5 = 4*3*5 = 12*5 = 60.    ANSWER\r\n" );
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