SOLUTION: Sam is now one-sixth as old as his father, in 4 years; Sam will be one fourth as old as his father will be then. Find the ages of Sam and his father now. This is what I have at th

Question 310590: Sam is now one-sixth as old as his father, in 4 years; Sam will be one fourth as old as his father will be then. Find the ages of Sam and his father now.
This is what I have at this moment.
1/6 x + 4 = 1/4 x
Thank you.
Answer by mollukutti(30) (Show Source): You can put this solution on YOUR website!
As you have assumed, let me assume Sam's father's current age as x years
Then, Sam's current age is 1/6 x = x/6 yrs
After 4 years Sam's age will be x/6 + 4
Sam's dad's age will be (x + 4) years
As per the question:
x/6 + 4 = 1/4 (x + 4)
or, x/6 + 4 = x/4 + 1
or, 4 - 1 = x/4 - x/6
Changing sides:
x/4 - x/6 = 4 - 1
or, (6x - 4x)/24 = 3
or 2x = 3.24
or, x = 36
Therefore Sam is 36/6 = 6 years old

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