exam Maths Puzzle Numerical Ability

I dont understand rational expression with extraneous values.

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exam Other Question

The gym is 21 years newer than the auditorium. The gym is also one fourth as old as the auditorium. How old is each building? Find the maximun value of z=3x +2y subject tothe contraints x>=0, y>=0, x+2y<=4, x-y<=1