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1. The sum of a number and its reciprocal is $\frac{13}{6}$. Find the number.
1. A basketball court measuring 29 m by 15 m has an equal-width pathway all around it, with a total area of 792 m$^2$. Find the width of the pathway.
1. The height of a right-angled triangle is 24 cm less than 4 times its base length. If the area is 14 cm$^2$, find the lengths of the base and height.