Maths Olympiad Prep

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Algebra Difficulty 5.2 AIME, harder Find the answer

38. It's the New Year, and the panda named Bao is performing on stilts. Bao stands on the stilts, and his height only accounts for 14\frac{1}{4} of the total height of him and the stilts. During the performance, Bao accidentally breaks off a 20 dm section from each stilt. At this point, Bao stands on the broken stilts, and his height accounts for 13\frac{1}{3} of the total height. What was the initial total height of Bao and the stilts in dm?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

8080

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