book Maths Puzzle Numerical Ability

Find two positive real numbers whose sum is 40 and whose product is a maxium.
Construct the function f(x) = x(40 - x).
How is this found?

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book Other Question

Find the equation of the line which satisfies each set of conditions:
passes through the point with coordinates (-2, 1) and has slope 2
(-4)(7)+(-4)(-9)