$$36$$ children took a math talent test. For a contestant Anu the number of students who scored above her was $$1.5$$ times the number who scored below her. Her rank when the scores are put in decreasing order is

Correct Answer: 22

Solution

Let the number below Anu be $$x$$. Then the number above her is $$1.5x$$, and $$1.5x+x+1=36$$. This gives $$2.5x=35$$ and $$x=14$$, so $$21$$ students scored above her. Therefore her rank is $$21+1=22$$.

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