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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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On age problems, see the lessons
- Age problems and their solutions
- A fresh formulation of a traditional age problem
- Really intricate age word problem
- Selected age word problems from the archive
- Age problems for mental solution
Read them and become an expert in solving age problems.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Age word problems".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.