Solve the given puzzle using the equation- In a village, the number of women is 89 more than the number of men. The number of children is 400 more than the number of men. If the total population of the village is 4989, find the number of men, women and children.
Answers
SOLUTION :
Let the number of men = x
Number of women = x + 89
Number of children = x +400
Total population of the village = number of men +number of women + number of children
Total population of the village = x + (x+89) + (x+400)
Total population of the village = 3x + 489
[Given : Total population of the village = 4989]
4989 = 3x + 489
3x = 4989 - 489 = 4500
3x = 4500
x = 4500/3 = 1500
x = 1500
Number of men = x = 1500
Number of women = x + 89 = 1500 + 89 = 1589
Number of children = x +400 = 1500 + 400= 1900.
Hence, there are 1500 men, 1589 women and 1900 children in the village.
HOPE THIS ANSWER WILL HELP YOU...
Hi ,
It is given that ,
Let the number of men = x
number women = ( x + 89 )
number of children = ( x + 400 )
Total population of the village = 4989
x + ( x + 89 ) + ( x + 400 ) = 4989
3x + 489 = 4989
3x = 4989 - 489
3x = 4500
x = 4500/3
x = 1500
THEREFORE ,
number of men = x = 1500
Number of women = ( x + 89 )
= ( 1500 + 89 )
= 1589
Number of children = ( x + 400 )
= ( 1500 + 400 )
= 1900
I hope this helps you.
: )