A class of 20 boys and 15 girls is divided into n groups so that each group has n boys and girls. find x,y, and n. what values are referred in a class.
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Step-by-step explanation:
In a class 20 boys and 15 girls .
Let x be the boys and y be the girls.
Given that in a class of 20 boys and 15 girls is divided into n groups i. e 35 / n
= (x + y) = 35 / n
= nx + ny = 35 = 20 + 15
total number of boys = nx = 20 = 2 x 10 = 10 x 2 = 4 x 5 = 5 x 4 .
total number of girls= ny = 15 = 3 x 5 = 5 x 3.
∴ nx = 5 x 4 and ny = 5 x 3.
when n = 5 ,x = 4 , y = 3 then only it is possible.
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