SOLUTION: Mark is 4 years older than Kate. Together the sum of their ages is three times Kate's age. How old are each?

Algebra ->  Human-and-algebraic-language -> SOLUTION: Mark is 4 years older than Kate. Together the sum of their ages is three times Kate's age. How old are each?      Log On


   

Question 431697: Mark is 4 years older than Kate. Together the sum of their ages is three times Kate's age. How old are each?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Mark is 4 years older than Kate.
m = k+4
:
Together the sum of their ages is three times Kate's age.
m + k = 3k
Replace m with (k+4)
k + 4 + k = 3k
2k + 4 = 3k
4 = 3k - 2k
4 = k
:
How old are each? Mark is 8, Kate is 4