Children were fallen in for drill. If each row contained 4 children less, 10 more rows would have been made. But if 5 more children were fallen in each row the number of rows would have reduced by 5. Find out the number of children in the school.
Answers
Answer:
Step-by-step explanation:
Given : Children were fallen in for drill.
If each row contained 4 children less, 10 more rows would have been made.
But if 5 more children were fallen in each row the number of rows would have reduced by 5.
To Find : Number of children in the school.
Solution:
Number of Children in each row = C
Number of Rows = R
Total Children = RC
If each row contained 4 children less, 10 more rows would have been made.
=> (C - 4) (R + 10) = CR
=> CR + 10C - 4R - 40 = CR
=> 10C - 4R = 40
=> 5C - 2R = 20 Eq1
if 5 more children were fallen in each row the number of rows would have reduced by 5.
=> (C + 5)(R - 5) = CR
=> CR + 5R - 5C - 25 = CR
=> R = C + 5
Substitute in Eq1
5C - 2(C + 5) = 20
=> 3C = 30
=> C = 10
R = 15
Total Children = RC = 15(10) = 150
Hence number of children in the school. = 150
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