In a class if 5 students are seated in each bench, 5 benches remain vacant. But if 4 students are seated on each bench, 8 students are to remain standing. What is the number of students in that class?

Question

Accepted Answer

140. ধরি, মোট বেঞ্চ xটি। প্রথম শর্তে ছাত্রসংখ্যা = 5(x−5)। দ্বিতীয় শর্তে ছাত্রসংখ্যা = 4x+8। ⇒ 5(x−5) = 4x+8 ⇒ 5x−25 = 4x+8 ⇒ x = 33। ∴ ছাত্রসংখ্যা = 4 × 33 + 8 = 140 জন।

In a class if 5 students are seated in each bench, 5 benches remain vacant. But if 4 students are seated on each bench, 8 students are to remain standing. What is the number of students in that class?

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