SOLUTION: Alex is 6 yrs. older than Frank. the sum of their ages is 50. find alex and frank age. show solution.

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Question 395673: Alex is 6 yrs. older than Frank. the sum of their ages is 50. find alex and frank age. show solution.
Found 2 solutions by ewatrrr, Earlsdon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Alex is 6 yrs. older than Frank

Let x and (x+6) represent Frank's and Alex's ages respectively

question states***

 x +(x+6) = 50

solving for x

 2x + 6 = 50

     2x = 44

      x = 22, Franks age.  Alex is 28.  (22 + 6)



CHECKING our Answer

  22 + 28  = 50

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let A = Alex's age and F = Frank's age.
A = F+6 "Alex is 6 yrs. older than Frank."
A+F = 50 ""The sum of their ages is 50." Substitute for A, A = F+6 and solve for F.
(F+6)+F = 50
2F+6 = 50
2F = 44
F = 22 and A = 22+6 = 28.
Alex is 28 years old and Frank is 22 years old.