## in a class if three students sit on each bench one student will be left if four students sit on each bench one bench will be left find no of

Question

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## Answers ( )

Let the number of students in the class be x and number of benches in the class be y.

According to the question,

3y+1=x

x−3y=1 …… (1)

Also,

(y−1)4=x

4y−4=x

x−4y=−4 …… (2)

Solving equations (1) and (2), we get

x=16 and y=5

Hence, the number of students in the class is 16 and the number of benches in the class is 5.