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1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was = ?

1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was = ? Correct Answer 25

Let the number of girls in the group be x
Then, number of oranges given to each girl = 2x
$$\eqalign{ & \therefore x \times 2x = 1250 \cr & \Leftrightarrow 2{x^2} = 1250 \cr & \Leftrightarrow {x^2} = 625 \cr & \Leftrightarrow x = 25 \cr} $$

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