SOLUTION: I have been trying to solve this question but I cant figure it out: The sum of the present ages of Eric and his father is 58 years. In 10 years, his father will be twice as old as

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: I have been trying to solve this question but I cant figure it out: The sum of the present ages of Eric and his father is 58 years. In 10 years, his father will be twice as old as       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 153936: I have been trying to solve this question but I cant figure it out: The sum of the present ages of Eric and his father is 58 years. In 10 years, his father will be twice as old as Eric will be at that time. Find their present ages.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have been trying to solve this question but I cant figure it out: The sum of the present ages of Eric and his father is 58 years. In 10 years, his father will be twice as old as Eric will be at that time. Find their present ages.
------------------------
EQUATIONS:
Present: F + E = 58
Future: (F+10) = 2(E+10)
------------------------
Rearrange:
F + E = 58
F -2E = 10
-------------
Subtract the 2nd equation from the 1st to solve for E:
3E = 48
E = 16 yrs old (Eric's age now)
Since F+E= 58, F=42 (Father's age now)
========================
Cheers,
Stan H.