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 student and no fo benches and represent on graph
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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.
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