In a history class of a humanities course, there are $N$ students present on a particular day. If $N$ is a two digit

In a history class of a humanities course, there are $N$ students present on a particular day. If $N$ is a two digit number, then what is the value of $N?$

1) If $2$ more students had been present in the class, they could have been evenly divided in groups of $5$ each

2) If $2$ less students had been present in the class, they could have been evenly divided in groups of $7$ each

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