45 girls of Std. VI, 30 girls of Std. VII and 60 girls of Std. VIII have to stand on the ground in different rows for the drill. The girls have to stand in such a way that the number of the girls in each row should be same. Find the maximum number of girls that can stand in each row.
Answers
Given : Number of Girls in 6th Class : 45
Given : Number of Girls in 7th Class : 30
Given : Number of Girls in 8th Class : 60
Total Number Girls in the Ground : (45 + 30 + 60) = 135
Let the Number of Rows be : R
Let the Number of Girls in each Row be : G
Given : The Girls have to stand in such a Way that the Number of Girls in Each Row should be Equal
⇒ R × N = 135
In order to have Maximum Girls in each Row, The Number of Rows should be such a Number which is Least and divides the Number 135 exactly.
⇒ The Number of Rows should be such a Number which is the Least Factor of the Number 135
⇒ The Least Factor of 135 (other than 1) is 3
⇒ Number of Rows = 3
⇒ 3 × G = 135
⇒ G = 45
⇒ The Maximum Number of Girls that can stand in each Row : 45
Answer:
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