SOLUTION: Today a father is four times as old as the sum of the ages of his two sons. Eight years later, he will be twice as old as the sum of his son's ages. What is the father's age today

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Question 389268: Today a father is four times as old as the sum of the ages of his two sons. Eight years later, he will be twice as old as the sum of his son's ages. What is the father's age today ?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,  

 a father is four times as old as the sum of the ages of his two sons      

Let x and 4x represent the sum of son's ages and father's age NOW

Question States***

 4x + 8 = 2[x+16]

Solving for x

 4x + 8 = 2x + 32

    2x = 24

     x = 12, the sum of the two son's ages NOW.  Father is 48.  (4*12)



CHECKING our Answer***(8 years from NOW)

 56 = 2*28 = 56