SOLUTION: three times joe's age is 6 more than twice andy's age. the sum of their ages is 32. find their ages

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: three times joe's age is 6 more than twice andy's age. the sum of their ages is 32. find their ages      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1009620: three times joe's age is 6 more than twice andy's age. the sum of their ages is 32. find their ages
Answer by tiffany222(56) About Me  (Show Source):
You can put this solution on YOUR website!
Let Joe's age be x
Let Andy's age be y
3x = 2y + 6
x + y = 32
Rearranging the first equation:
3x - 2y = 6
x + y = 32
Multiply second equation by 3 to eliminate x:
3x - 2y = 6
3x + 3y = 96
Subtract:
-5y = -90
y = 18
Substituting y to find x:
x + y = 32
x + 18 = 32
x = 14
Final Answer:
Joe's Age = 14
Andy's Age = 18