Students were standing in rows for P.T. exercise. If 4 students were less in each row, 10 more rows
were required and if 5 students were more in each row then number of rows was reduced by 8. Find
the number of students.
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Answer:
800
Step-by-step explanation:
Number of students in a row- s
Number of rows- r
Total number of students- rs
As per given we have 2 equations,
- (s-4)(r+10)=rs => sr+10s-4r-40=rs => 10s-4r=40
- (s+5)(r-8)=rs => sr-8s+5r-40=rs => -8s+5r=40
Combining above 2 equations:
- 10s-4r=-8s+5r => 18s=9r => r=2s
Considering this in 1st equation:
- 10s-4*2s=40 => 2s=40 => s=20 - students per row
- r=2s=40 - number of rows
Total number of students rs= 20*40=800
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