exam Maths Puzzle Numerical Ability

If the sides of a square are decreased by 3 cm, the area is decreased by 81cm^2. What were the dimensions of the original square?

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exam Other Question

ABC is a triangle. ABD is a triangle within triangle ABC. Angle DBA is congruent to angle ACB.

Prove (AC)(AD)= (AB)squared.

Thanks! 3x-4y=7
2x-y=3

then
3x-4y=7
-8x+4y=-12

adding

-5x=-5 then x=1 then 3-4y=7 then 4y=-4 then y=-1
Solution: x=1,y=-1