# In a class if 3 students sit on each bench 1student will be left if 4 students sit on each bench 1 bench will be left find no of students and no of benches in that class

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Let number of students be "N"

and number of benches be"n"

so 3 students on each benches student left will be 1

3n+1=N

4n-4=N

or

3n-N=-1.....1

4n-N=4.............2

subtracting 1 and 2 we get

n=5

putting n=5

in in 1

15-N=-1

N=16

so number of student are 16 and number of benches are 5

and number of benches be"n"

so 3 students on each benches student left will be 1

3n+1=N

4n-4=N

or

3n-N=-1.....1

4n-N=4.............2

subtracting 1 and 2 we get

n=5

putting n=5

in in 1

15-N=-1

N=16

so number of student are 16 and number of benches are 5