exam Maths Puzzle Numerical Ability

The sum of two numbers is 14 and the sum of their reciprocals is 7/24. Find the numbers.

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Please help me solve correctly and show algebraic support.

(X + 4)^(1/2) = X-6

I am so lost. Thank you so much.
5x-(2x+2)=x+(3x-5)
Could you help me to solve this problem?

Thank you