Question

In a club 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

15 females are absent m = 2*(f-15) -> equ I

45 males are absent f - 15 = 5*(m-45) -> equ II

=> f = 5*(m-45) + 15

=> m = 2*((5*(m-45)+15)-15)

=> m = 2*(5m - 225 +15 - 15)

=> m = 2*(5m-225)

=> m = 10m - 450

=> 9m = 450

=> m = 50

so from equation II

f - 15 = 5*(m - 45)

=> f - 15 = 5*(50-45)

=> f - 15 = 5*(5)

=> f = 25 + 15

f = 40