SOLUTION: 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 if he di

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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
if he distribute them equally among the mother monkeys ,no bananas will remain.
if he distribute them equally among baby monkeys ,no banana will remain.
if he distribute them among the mother and baby monkeys ,no banana will remain
How many bananas does Arihant have?

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Let N = the number of bananas he has

if he distribute them equally among the mother monkeys ,no bananas will remain.
That says N is divisible by 4.

if he distribute them equally among baby monkeys ,no banana will remain.
That says N is also divisible by 5.

if he distribute them among the mother and baby monkeys ,no banana will remain
That says N is divisible by 9.

How many bananas does Arihant have?
Since 4, 5 and 9 are "relatively prime", that is, they have no common factors 
(other than 1), you can merely multiply them together to find their least
common multiple, 4󬊉 = 180 bananas.  However he could any multiple of
180.  180 is just the LEAST number of bananas he could have.

Edwin
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