Question

In my marble bag there are between 40 and 80 marbles.

If I share them equally among 4 children there is 1 left.

If I share them equally among 5 children there are 3 left.

If I share them equally among 6 children there is 1 left.

How many marbles do I have?

Answer 1

We are given, there are marbles b/w 40 and 80

so, no. of marbles divided by 4 leaves remainder 1

 so, no of marbles  could be 41,45,49,53,57,61,65,69,73,77

But it leaves remainder 3 when divided by 5

 so, it could be  53,58,63,68,73,78

And, it leaves remainder 1 when divided by 6 

so, Number is 73

Hence No. of marbles = 73