exam Maths Puzzle Numerical Ability

The sum of the areas of the two squares is 325 square meters. The side of one increased by the side of the other is 25 meters. Find the length of a side each.

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exam Other Question

Find the vertices and asymptotes of the hyperbola given by:

(x^2/25)-(y^2/100)=1

Thanks a lot for your help!!!!
x-8/x+5 / x-9/x+4 << considering the following

Explain why -5, 9, and -4 are not allowable replacements for the variable x.