book Maths Puzzle Numerical Ability

Please can you show me how to solve this problem
I know the answere but I cant solve it

x^2+y=31
y^2+x=41

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book Other Question

what is the largest sum of money all in coins and no silver dollars that you could have in your pocket without being able to give change for a dollar, a half-dollar, a quarter, a d find the value of sin4A and cos4A