Question

The ratio of boys to girls is 1:2. Two boys and two girls enter the room and the ration is now 5:9. How many boys and girls were there originally?

Answer 1

Answer:

The No. of Boys=8

The No. of Girls=16

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Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Assumption

Number of girls be a

Number of boys be b

The ratio of boys to girls = 1 : 2

$\tt{\rightarrow\dfrac{b}{a}=\dfrac{1}{2}}$

a = 2b

Two boys and two girls were the room = 5 : 9

No. of girls

= a + 2

No. of boys

= b + 2

Situation,

$\tt{\rightarrow\dfrac{b+2}{a+2}=\dfrac{5}{9}}$

9(b + 2) = 5(a + 2)

9b + 18 = 5a + 10

9b + 18 = 10b + 10

10b - 9b = 18 - 10

b = 8

Put value of b in (a)

a = 2(8)

a = 16

Hence,

Number of girls = 16

Number of Boys = 8