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In a classroom there are certain number of benches. If 6 students are made to sit on a bench, then to accommodate all of them, one more bench is needed. However, if 7 students are made to sit on a bench, then after accommodating all of them, space for 5 students is left. What is the total number of students in the class?

In a classroom there are certain number of benches. If 6 students are made to sit on a bench, then to accommodate all of them, one more bench is needed. However, if 7 students are made to sit on a bench, then after accommodating all of them, space for 5 students is left. What is the total number of students in the class? Correct Answer 72

Let the total number of students in class be N.

No. of benches be x.

Given,

⇒ N = 6x + 6

⇒ N = 7x - 5

Then,

⇒ 6x + 6 = 7x - 5

⇒ x = 11

∴ Total number of Students = 6 × 11 + 6 = 72

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