document.write( "Question 781817: There are 4 mother monkeys and 5 baby monkeys sitting on the tree.Arihant decided to feed these monkeys with Banana .He Has a certain number of Bananas with him so that\r
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document.write( "if he distribute them equally among the mother monkeys ,no bananas will remain.\r
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document.write( "if he distribute them equally among baby monkeys ,no banana will remain.\r
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document.write( "if he distribute them among the mother and baby monkeys ,no banana will remain\r
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document.write( "How many bananas does Arihant have?\r
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Algebra.Com's Answer #476114 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Let N = the number of bananas he has\r\n" ); document.write( " \n" ); document.write( "if he distribute them equally among the mother monkeys ,no bananas will remain. \n" ); document.write( " \r\n" ); document.write( "That says N is divisible by 4.\r\n" ); document.write( " \n" ); document.write( "if he distribute them equally among baby monkeys ,no banana will remain. \n" ); document.write( " \r\n" ); document.write( "That says N is also divisible by 5.\r\n" ); document.write( " \n" ); document.write( "if he distribute them among the mother and baby monkeys ,no banana will remain \n" ); document.write( " \r\n" ); document.write( "That says N is divisible by 9.\r\n" ); document.write( " \n" ); document.write( "How many bananas does Arihant have? \n" ); document.write( " \r\n" ); document.write( "Since 4, 5 and 9 are \"relatively prime\", that is, they have no common factors \r\n" ); document.write( "(other than 1), you can merely multiply them together to find their least\r\n" ); document.write( "common multiple, 4 = 180 bananas. However he could any multiple of\r\n" ); document.write( "180. 180 is just the LEAST number of bananas he could have.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |