Question

In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ?

Answer 1

Let the Number of Males in the Party be : M

Let the Number of Females in the Party be : F

Given : If 15 Females quit then the Number of Females will become Double the Number of Males

$:\implies$  F - 15 = 2M

$:\implies$  F = 2M + 15

Given : If 45 Males quit then the Number of Females will become 5 times the Number of Males

$:\implies$  F = 5(M - 45)

Equating both values of F, We get :

$:\implies$  2M + 15 = 5(M - 45)

$:\implies$  2M + 15 = 5M - 225

$:\implies$  5M - 2M = 225 + 15

$:\implies$  3M = 240

$\mathsf{:\implies M = \dfrac{240}{3}}$

$:\implies$  M = 80

Substituting the Value of M in the Equation F = 2M + 15, We get :

$:\implies$  F = 2(80) + 15

$:\implies$  F = 160 + 15

$:\implies$  F = 175

Answer : Number of Females in the Party = 175

Answer 2

Answer:

Step-by-step explanation:

Let The Number of Male be "X".

& No. Of Females be "y".

Condition |,

Y - 15 = 2X

=> Y = 2x + 15.___________(1).

Condition ||,

45 Males Quit then No. Of Females be Five times the male.

=> (x - 45)5 = y

=> 5x - 225 = 2x + 15 (From EQ 1).

=> 5x - 2x = 225 + 15

=> 3x = 240

=> x = 240/3

=> x = 80

Hence,

The Number of Male in the party is 80.

Putting x = 80 in EQ (1). We get,

=> Y = 2x + 15

=> Y = 160 + 15

=> Y = 175.

Hence,

Number of Female in the Party is 175.

Number of Female in the party is more than the Number of Males in the Party. It should happen in our Country. (^_^).