Question

there are 96 girls and 120 boys in a sports event.The sports teacher wants to arrange them in rows in such a way that each row contain equal number of students and each row should have either girls or boys in it,not both.What is the greatest number of students that can be arranged in each row​

Answer 1

Given : There are 96 girls and 120 boys in a sports event. The sports teacher wants to arrange them in rows in such a  way that each row contains equal number of students and each row should have either girls or boys in it, not  both.

To Find : greatest number of students that can be arranged in a row

Solution:

To Find the greatest number of students that can be arranged in a row

we need to find HCF ( Highest Common Factor )

or GCD (Greatest Common Divisor)

of Boys  & Girls

Boys = 120

Girls = 96

120 = 96 *  1 + 24

96 = 24 x 4  

24 is The HCF

Hence Maximum number of students that can be arranged in a row are 24

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