Question

The population of Village Bilaspur is 6792. Of these 3868 are women. How many men are there in the village?
A. 2297
B. 2924
C. 3654
D. 3475

Answer 1

Hint: Total population of a village will be the sum of the total numbers of men and women in the village.To find the number of men subtract the number of women from the total population

Complete step by step answer:
According to the question, the total population of Bilaspur is 6792 and of these total population 3868 are women.
We have to find the total number of men.
Total population of the village will be equal to the total sum of the number of men and women in the village.
i.e. Total population in the village = (Number of men) + (Number of women)……..(1)
According to question,
Total population = 6792
No. of women = 3868
Putting values of total population and number of women in equation (1), we will get,
6792 = (Total number of men) + (3868)
Taking the constants to one side of equation and variable to other, we will get,
6792 – 3868 = Total number of men.
$\Rightarrow $Total number of men = 2924
Hence, the required number of men in the village will be 2924 and option (B) is the correct answer.

Note: We can also solve this question by making a linear equation in ‘x’.
Let the unknown quantity (here number of men) to be x.
(Number of men) + (Number of women) = Total population
Putting values, we will get,
$x+3868=6792$
Now, subtracting 3868 from both sides of equation,
$\begin{align}
  & x+3868-3868=6792-3868 \\
 & x+0=2924 \\
 & x=2924 \\
\end{align}$