SOLUTION: one half of Terri's age is the same as one fourth of Brian's. The sum of their ages is 36. how old is each?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: one half of Terri's age is the same as one fourth of Brian's. The sum of their ages is 36. how old is each?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 507491: one half of Terri's age is the same as one fourth of Brian's. The sum of their ages is 36. how old is each?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
one half of Terri's age is the same as one fourth of Brian's. The sum of their ages is 36. how old is each?
-----
Equations:
(T/2) = B/4
T + B = 36
---
Rearrange:
T = B/2
----
Substitute for "T" and solve for "B":
B/2 + B = 36
(3/2)B = 36
B = (2/3)(36) = 24 yrs (Brian's age now)
----
solve for "T":
T = B/2
T = 12 (Terri's age now)
============================
Cheers,
Stan H.
=========