Question

In the Group 3B the sum of men and women is 40 and the difference between them is 10. How many men and women are there in that group?

x=25 and y=25
x=21 and y=21
x=-15 and y= -15
x= 25 and y= 15

Answer 1

x = 25 and y = 15

Explanation:

Men: x

Women: y

x + y = 40

x - y = 10 (add y to both sides)

x = y + 10

y+10+y = 40 (substitute x by y+10)

2y = 40-10 (subtract 10 from both sides)

y = 30/2 (divide both sides by 2)

y = 15

x + 15 = 40

x = 25