exam Maths Puzzle Numerical Ability

This problem is asking to find the length x and to answer in simplified radical form.
This is what I have so far in the simplifying,
x^2=45^2+51^2
=90+102
=192
so resulting,
x=24
Is this on the right track.

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Rosa is 18 years old and Arthur is 24 years old. How many years ago was Arthur three times as old as Rosa? How many gallons of a 12% solution must be mixed with a 32% solution to obtain 180 gals. of 22% solution?

Im not sure how to get this