SOLUTION: Jack is four years younger than Mary. Mario is 6 less than twice the age of Mary. The sum of their ages is 22. What is Jack's age?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Jack is four years younger than Mary. Mario is 6 less than twice the age of Mary. The sum of their ages is 22. What is Jack's age?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 917140: Jack is four years younger than Mary. Mario is 6 less than twice the age of Mary. The sum of their ages is 22. What is Jack's age?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jack is four years younger than Mary. Mario is 6 less than twice the age of Mary. The sum of their ages is 22. What is Jack's age?
-----------------
Equations:
j = m -4
r = 2m-6
------
j + m + r = 22
-----
Substitute:
(m-4) + m + (2m-6) = 22
4m -10 = 22
4m = 32
m = 8 yrs
-----
jack = m-4 = 4 yrs (jack's age now)
-------------------
Cheers,
Stan H.
-------------------