SOLUTION: In 25 years. Joseph age will be eight times as old as he was 10 years ago. How old is he now?

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Question 1200068: In 25 years. Joseph age will be eight times as old as he was 10 years ago. How old is he now?
Found 3 solutions by ikleyn, greenestamps, Alan3354:
Answer by ikleyn(52781)   (Show Source):
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.
In 25 years, Joseph will be eight times as old
as he was 10 years ago. How old is he now?
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Let J be his age now. In 25 years his age will be J+25 years. Eight times his age 10 years ago is 8*(J-10). Write an equation as you read the problem J + 25 = 8*(J-10). Simplify and find J J + 25 = 8J - 80 80 + 25 = 8J - J 105 = 7J J = 105/7 = 15. ANSWER. Joseph is 15 years old.

Solved.

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There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - HOW TO algebreze and to solve age problems?
    - A fresh formulation of a traditional age problem
    - Really intricate age word problems
    - 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

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Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

Always be aware of the possibility of solving a problem using formal algebra by setting up the problem in different ways.

The other tutor has provided one typical solution, starting by using Joseph's current age as the variable.

Here is an alternate setup for solving the problem.

Let x be Joseph's age 10 years ago.

Then Joseph's age 25 years from now will be x+35.

Joseph's age 25 years from now will be 8 times his age 10 years ago:

Joseph was 5 years old 10 years ago, so his age now is 15.

ANSWER: 15

Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
In 25 years. Joseph age will be eight times as old as he was 10 years ago. How old is he now?
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8 times and a difference of 35 years ---> 5 and 40 (in 25 years)
5+10 = 15, his age now.