self Maths Puzzle

(sqrt x)+y = 11
(sqrt y)+x = 9
find x and y..?

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self Other Question

(sqrt x) + y = 11
(sqrt y) + x = 9
find x and y...
A woman wants to buy a painting at an auction where you bid grams of gold instead of money. She owns a gold chain made of 23 interlocking loops, each weighing 1 gram. She wants to go to a jeweler before the auction to cut the minimum number of loops that would allow her to pay any sum from 1 to 23. For example, she could pay a 13 gram price with a 12 link chain and a single link. After much thought, she figures out a way to do it by cutting just 2 of the loops in the chain. How many loops are in the pieces of chains that she has after the 2 cuts?