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# Remainders Affect My Mod

Can anyone guide on how I can solve the following problem without using trial-and-error:

A number when divided by 5 leaves a remainder of 2 and when divided by 7, leaves a remainder of 4. What is the remainder when the same number is divided by $$5 \times 7$$?

Note by Nilabha Saha
1 month, 1 week ago

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