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Seeking clarification about the solution

Positive Integers Only
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    eminentcoyote M0 M1 M2 M3 M4 M5
    last edited by Dec 30, 2022, 12:42 AM

    The problem at the end of explanation #2 seems to overlook that no possible values of a are integers.

    If you calculate each value of a, they come out to be 67/6, 35/6, 25/6, and 17/6. Their sum is 24, but none of them are integers. So there are no possible integer values that satisfy that equation.

    The solution uses a trick to calculate the sum of all possible values without actually finding the values of a. So it overlooked the fact that there are no integer values of a.

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