document.write( "Question 982672: What is the greatest number of 5 digits which when divided by 16, 24, 30 and 36, 10 will remainder in each case? \n" ); document.write( "
Algebra.Com's Answer #603493 by ikleyn(52817)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Let  x  be the unknown number.\r
\n" ); document.write( "\n" ); document.write( "Then  x-10  is divisible by  16,  24,  30 and  36, according to the condition.\r
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\n" ); document.write( "\n" ); document.write( "It implies that  x-10  is divisible by  \"2%5E4\",  \"5\"  and  \"9\".\r
\n" ); document.write( "\n" ); document.write( "Hence,  x-10  is divisible by  16*5*9 = 720. \r
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\n" ); document.write( "\n" ); document.write( "The greatest  5-digits number divided by  720  is  99360  (it is easy to check).\r
\n" ); document.write( "\n" ); document.write( "It means that  x-10 = 99360.\r
\n" ); document.write( "\n" ); document.write( "Hence,  x = 99370.\r
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