exam Maths Puzzle Numerical Ability

The hypotenuse of a right triangle is 11 miles long. One leg of the triangle is 3 miles longer than the other leg. Find the sum ofo the lengths of the two legs of the right triangle.

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Determine whether the following equations have a solution or not? Justify your answer
(7)1/2y2 - 6y - 13(7)1/2 = 0 Assume that 420 members of the House are available to vote. How many votes are necessary to make up a majority, which is anything over ?