A hostel has rooms for (60) students. If (2) more students are put in each room, (5) fewer rooms are needed. How many students were originally put in each room?

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Answer and explanation

Correct answer: (4)

Let students per room be (x), then (\frac{60}{x}-\frac{60}{x+2}=5). This gives (5x^2+10x-120=0), so (x=4).

What is the correct answer to this question?

(4)

Why is this the correct answer?

Let students per room be (x), then (\frac{60}{x}-\frac{60}{x+2}=5). This gives (5x^2+10x-120=0), so (x=4).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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