Question

The population of a village is 5000. If in a year number of males were to increase by 5 percent and that of a female by 3 percent annually the population would grow to 5202 at end of year. Find the number of males and females.

Answer 1

Hi friend!
Here is your Answer
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Let the number of males be X

Number of females  = y 
So,

x +  y   =  5000                                                -------------- ( 1 )

And as males increase by 5 % , So  total males  =  x + 5x100   = 2120x 
And
As females increase by 3 % , So  total males  =  y + 3x100   = 103100y 
So,
We get
 2120x + 103100y   = 5202 
Taking LCM we get

105 x  + 103y  = 520200 

105 ( 5000 - y ) + 103y  = 520200                                         ( from equation 1  )

525000  - 105y + 103y  = 520200

2y  = 525000 - 520200

2y = 4800

y  = 2400     substitute that value in equation 1  we get

x + 2400  = 5000 

x =  2600 

So ,
Total number of males  = 2600 
And
Total number of females  = 2400

Hope it's helpful ✌✌

Answer 2

Answer:

male 2600

and female 2400

hope it help