four a group of boys and girls 15 leave there are then..., Simplification, General Mathematics

Question:Four a group of boys and girls `15` girls leave.There are then left `2` boys for each girl.After this, `45` boys leave. There are then `5`girls for each boy.The number of girls in the begining was:

A `40` 
B `43` 
C `29` 
D `50`

/94

+ AnswerA

+ ExplanationLet at present there be x boys.

Then,the number of girls at present `= 5x`.

Before the boys have left:

Number of boys`= x + 45` and number of girls`= 5x`

:.`x + 45 `

`= 2 (5x) ⇒ 9x`

`= 45 ⇒ x = 5`.

Hence,the number of girls in the beginig

`= 5x + 15`

`= 25 + 15`

`= 40`

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