Question

number of boys and girls in a class are in a ration 5:3. The number of boys is 10 more than the number of girls. Find the number of girls​

Answer 1

Given : Number of boys and girls in a class are in a ration 5:3 & number of boys is 10 more than the number of girls.

Need To Find : Number of girls are in a class ?

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❍ Let's say that , Number of Boys and Girls in class be 5x and 3x , respectively .

$\\\:\quad \dag\underline {\pmb{\frak{ According \:To\:The\:Given \:Question \:\::\:}}}$

⠀⠀▪︎ ⠀⠀The number of boys is 10 more than the number of girls.

$\\\\:\implies \sf \: \Big\{ \: Number_{\:(Boys)\:}\:\Big\}\:=\:10\:+\:\Big\{ \: Number_{\:(Boys)\:}\:\Big\}\:$

$:\implies \sf \: \Big\{ \: 5x\:\:\Big\}\:=\:10\:+\:\Big\{ \: 3x\:\Big\}\:$

$:\implies \sf \: \: 5x\:=\:10\:+ \: 3x\:$

$:\implies \sf \: \: 5x\:-\:3x\:=\:10\:$

$:\implies \sf \: \: 2x\:=\:10\:$

$:\implies \sf \: \: x\:=\:\cancel{\dfrac{10}{2}}\:$

$:\implies \pmb {\underline {\boxed {\purple {\:\frak{ \:x\:\:=\:5\:}}}}}\:\bigstar \:$

Therefore,

• Number of Boys , 5x = 5(5) = 25 &
• Number of Girls , 3x = 3(5) = 15