Question

The students of two classes were in the ratio 5 : 7, if 10 students left from each class, the remaining students are in the ration of 4 : 6 then now the number of students in each class is:

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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• The students of two classes were in the ratio 5 : 7

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• The ratio gets 4 : 6 when 10 students left from each class.

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$\red{\underline \bold{To \: Find:}}$

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• Number of student in each class.

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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Let the classes be "class 1 & class 2"

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Let the number of student in class 1 be 5x

Let the number of student in class 2 be 7x

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$\underline{\bold{\texttt{10 students left from each class}}}$

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⇰ Students in class 1 = 5x - 10

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⇰ Students in class 2 = 7x - 10

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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$\rm\implies \dfrac { 5x - 10 } { 7x - 10 } = \dfrac { 4 } { 6 }$

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$\sf \longmapsto \dfrac { 5x - 10 } { 7x - 10 } = \dfrac { 2} { 3 }$

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$\sf \longmapsto 3( 5x - 10 ) = 2(7x - 10)$

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$\sf \longmapsto 15x - 30 = 14x - 20$

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$\sf \longmapsto x = 10$

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Hence ,

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Students in class 1 will be 5(10) = 50

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Students in class 2 will be 7(10) = 70

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