SOLUTION: Karl is seven times as old as Jane, but in six years he will be only three teims as old. Find the age of each now. 7x+x = 3x+x+6? But I get the answer of 1.5 years old and it d

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Karl is seven times as old as Jane, but in six years he will be only three teims as old. Find the age of each now. 7x+x = 3x+x+6? But I get the answer of 1.5 years old and it d      Log On

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Question 145583: Karl is seven times as old as Jane, but in six years he will be only three teims as old. Find the age of each now.
7x+x = 3x+x+6?
But I get the answer of 1.5 years old and it doesn't come out right.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Karl's age: x
Jane's age: y
Karl's age in 6 years: (x + 6)
Jane's age in 6 years: (y + 6)

Now:
x=7y

6 years from now:
x%2B6=3%28y%2B6%29

Substitute the value indicated for x in the first equation into the second equation.

7y%2B6=3%28y%2B6%29

Solve for y to get Jane's age now, then calculate Karl's age using that information.