book Maths Puzzle Numerical Ability

Factor completely.

x^2 - 13x + 36

I get (x - 9) (x-4) by looking at it - but to break it down I am not sure how to get to this answer.

Thanks

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book Other Question

x/2 + y/4 = 1/7
x/4 + y/6 = 1/4

solve for x and y
I got x = 29/49 if this is correct please help me determine y.
thank you.
I'm stumped by this.

A collection of Quarters, Nickels, dimes and pennies are on a acounter.
The avergae value of the coins on the counter is 20 cents. If a another Quarte