59. Students are standing for mass P.T. The number of rows and students in one row is same. If 15 students are standing in each row then what is the total number of students standing for mass P.T. ?
Answers
Let the number of students in each row be x, and number of rows be y.
Total number of students =xy
From the first condition, we get
(x−3)(y+10)=xy
xy+10x−3y−30=xy
10x−3y=30..(i)
From the second condition we get
(x+5)(y−10)=xy
xy−10x+5y−50=xy
−10x+5y−50=0
∴ −10x+5y=50...(ii)
Adding equations (i) and (ii)
10x−3y=30
−10x+5y=50
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2y=80
y=40
Substituting y=40 in equation (ii) we get
−10x+5y=50
−10x+5×40=50
−10x+200=50
∴ −10x=50−200
∴ −10x=−150
∴ 10x=150
∴ x=15
The number of students =xy
=15×40
=600
Total number of students participating in the drill are 600
Explanation:
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