There are some benches in a classroom. If 4 students sit on each bench then 3 benches remains empty and if 3 students sit on each bench then 3 students remain standing. Find the number of students in the classroom.
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9
Answer:
48
Let the no. of benches be x
so , students will be ( in first condition)
= 4 ( x - 3 )
students will be ( in second condition )
= 3x + 3
now
4 ( x - 3 ) = 3x + 3
4x - 12 = 3x + 3
4x - 3x = 3 + 12
x = 15
Hence no. of benches = 15
And no. of students = 4 ( x - 3 )
= 4x - 12
= (4 × 15) - 12
= 48
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