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The number of apples in a basket is between 60 and 120. If i put these apples into bags of 5, there will be a remainder of 1 apple. If i put these apples into bags of 8, there will be a remainder of 6 apples. Find the total number of apples in the basket.

I managed to find out the answer using Guess and check method. Please kindly give the solution in other easier methods.

Thank you.

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