SOLUTION: I currently assume the answer to this question is 1.5 because I did it in my head but I don't know how to sole it algebraically, like to set up the equation because that is what is

Question 1093441: I currently assume the answer to this question is 1.5 because I did it in my head but I don't know how to sole it algebraically, like to set up the equation because that is what is asked of me and I am not too sure how to set it up. Here is the question
John, who is 42 years old, has a nephew age 9. In how many years will the age of his nephew be one-fourth John's age? Solve algebraically.

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1.5 years?
==================
How is "currently assume" different from "assume?"
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

Let x be "in how many years". In x years, John's age will be 42+x years. In x years, his nephew age will be (9+x) years. The condition says: 42+x = 4*(9+x), or 42 + x = 36 + 4x, 42 - 36 = 4x - x, 6 = 3x ====> x = = 2. Answer. In 2 years. Check. You can check it on your own.

There is a bunch of lessons on age word problems
    - 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
in this site.

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.

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