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MathNet 2011 Question 32

Math Olympiad Vault · MathNet 2011

Question 32

Yesterday in the playground the ratio of boys to girls was $3 : 2$. Today, the number of boys is the square of the number of girls and there are $6$ boys and $7$ girls less than yesterday. How many children were there in the playground yesterday?
(A) 12
(B) 13
(C) 15
(D) 25
(E) 30