Question
A number is divided by 49 leaves a remainder 9. If the
same number is divided by 7, then the remainder will be:Solution
Let the number be N. When N is divided by 49, it leaves a remainder of 9. This means:  N= 49k+9          for some integer k. Now, when this number is divided by 7, we can rewrite N as:  N=49k+9 (7×7k) +9 So, when N is divided by 7, the remainder will be the same as the remainder when 9 is divided by 7:  =9/7=2(remainder). Thus, the remainder when the number is divided by 7 is 2.
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