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Some students shared (540) rupees equally. If there were (3) fewer students, each would pay (30) rupees more. What was the actual number of students?कुछ विद्यार्थियों ने (540) रुपये बराबर बाँटे। यदि (3) विद्यार्थी कम होते तो प्रत्येक को (30) रुपये अधिक देना पड़ता। वास्तविक विद्यार्थियों की संख्या क्या थी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (9)(9)
Let the number of students be (n). Then (\frac{540}{n-3}-\frac{540}{n}=30). This gives (30n^2-90n-1620=0), so (n=9).विद्यार्थी (n) हों तो (\frac{540}{n-3}-\frac{540}{n}=30)। इससे (30n^2-90n-1620=0) और (n=9) मिलता है।
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