book Maths Puzzle Numerical Ability

a^2+b^2=52 and a^2-b^2= 20 Solve for b

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How do I solve this VERY hard word problem? The AC Telephone company manufactures two styles of telephones: deluxe and standard. Each deluxe nets the company $9 profit, each stan A baseball manager has 11 players of the same ability. How many 9 player starting lineups can he create?