Question

the population of a town is 20, 000. If the number of males increased by 10 % and the number of females decreased by 6% the total population would have remained unchanged. find the number of males and females.

Please answer with full explanation​

Answer 1

Answer:

12500 females and 7500 males

Step-by-step explanation:

I solved it by hit and trial

Answer 2

Step-by-step explanation:

Let no. of males be x.

Let no. of females be y.

x + y = 20,000 ( given )

Now,

Increasing no. of males by 10%.

= x + x/10 = 11x/10

and

Decreasing no. of females by 6%

= y - 6y/100 = 47y/50

It is given that population remain unchanged, so

11x/10 + 47y/50 = 20,000

Solving, the two equations :-

We get x = 7500 = No. of males

and

y = 12500 = No. of females

Thank you.