Question

The population of a town is 160000. If the males increase by 6% and the females by 10%, the total population will increase to 172000. Find the number of females.

Answer 1

Answer:

60000

Step-by-step explanation:

Let x and y be the number of male and female respectively.

As per given data,

x + y = 160000

[x+(6/100)x]+[y+(10/100)y] = 172000

(106x/100)+(110y/100)=172000

$\frac{106(160000-y)}{100}+\frac{110y}{100}=172000\\\\\frac{106(160000-y)+110y}{100}=172000\\\\\frac{16960000-106y+110y}{100}=172000$

16960000+4y=17200000

4y = 17200000-16960000

4y = 240000

y = 60000

Therefore

Number of female is 60000