book Maths Puzzle Numerical Ability

Help. I can figure this out on paper by drawing a calendar.(More than one answer is possible) How do you write an equation to figure it out.
Suppose that July of year N has five

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can you please help me with {x+12y=68
{x=8y-12
determine the GCF
9(x-7)^6, 12(x-7)^9, 3(x-7)^10

I got the answer 3(x-7)^6 Is this right?

thank you