Find the sum of the remainders obtained when a number n is divided by 9 and 7 successively given that n is the smallest number that leaves remainders of 4,6, and 9 when divided successively by 13, 11 and 15.
So, in order to get the number we have to fullfil the above mentioned numbers one by one....
The number with 15 divided 9 as remainder
The number with 11 divided 6 as remainder
The number with 13 divided 4 as remainder (Thus the general form of the required number)
In order to get the lowest put
sum of the remainders obtained when 3514 is divided by 9 and 7 successively=9
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