exam Maths Puzzle Numerical Ability

The sum of two numbers is 18. If the sum of their squares is a minimum find the numbers.

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PROBLEM SOLVING: HOW TO SOLV???
A weekend at the Beach Bay Hotel in Florida incledues 2 nights and 4 meals at the cost of $194. A week cost $650 for 7 nights and 10 meals. Fiind the cost for one night then the cost of one meal. What is the answer to radical over 18 - radical over 8=

Thanks for all your help.