SOLUTION: Dan is 20 years old and his father is 44. How old was dan when his father was three times his age.

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Question 1116684: Dan is 20 years old and his father is 44. How old was dan when his father was three times his age.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
How long ago (?), x

44-x=3%2820-x%29
44-x=60-3x
-x%2B3x=60-44
2x=16
x=8--------8 years ago.
-




Dan WAS 12 years old.
(20-8=12)

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.

            The solution by @josgarithmetic is   W R O N G.

            Below please find the correct solution.


Let x = "how long years ago . . . "


44-x = 3*(20-x)

44-x = 60-3x

-x+3x = 60-44

2x = 16

x = 8  -------8 years ago



8 years ago Dan was  20-8 = 12 years old.


Answer.  Dan was 12 years old when his father was three times his age.


Check.   Check it on your own.

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    - Selected age word problems from the archive
    - Age problems for mental solution

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