book Maths Puzzle Numerical Ability

The difference of the reciprocals of two consecutive intergers is 1/30. Find the integers.

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book Other Question

What is a rational number and how do you find one? Break the steps down for me. Identify the shape of the graph, transform it into standard form, and sketch the graph.
4x^2 - 9y^2 - 24x - 36y + 36 = 0