exam Maths Puzzle Numerical Ability

word problem-quadratic equation
Three pieces of rod measure 20 cm, 41 cm and 44 cm. If the same amount is cut off each piece, the remaining lengths can be formed into a right triangle. What length is cut off?

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exam Other Question
Can you please simplify this and tell me how you did it?

(x-2)/(2x-1) Write three quadratic equations with a,b,c (coefficients of x^2, x and the constant) as
1. integers
2. rational numbers
3. irrtional numbers