exam Maths Puzzle Numerical Ability

Find two numbers whose sum is 23 and the difference of whose squares is 207

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exam Other Question

Prove that if and B are square martices and AB is invertible, then both A and B are invertible.
i am not sure where to start. I know that because it is a proof you can't use an e In a town election, the winning canidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each canidate recieve?