SOLUTION: Joe has a daughter called Jane. The sum of their ages is equal to 54 and the differences between their ages is 22. How old are they?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Joe has a daughter called Jane. The sum of their ages is equal to 54 and the differences between their ages is 22. How old are they?      Log On


   

Question 757538: Joe has a daughter called Jane. The sum of their ages is equal to 54 and the differences between their ages is 22. How old are they?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Joe's age = x
Jane's age = y
x + y = 54
x - y = 22
Add together.
2x = 76
x = 38
Substitute x = 38
in: x + y = 54
38 + y = 54
y = 54 - 38
y = 16
Joe's age = 38 yrs.
Jane's age = 16 yrs.
Hope this helps.
:-)