SOLUTION: Ashton is x years old. Bentley is 2 years older than Ashton. Three times Bentley’s age is equal to 18. The purpose of this exercise is to check your understanding on setting up e

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Question 1180176: Ashton is x years old. Bentley is 2 years older than Ashton. Three times Bentley’s age is equal to 18. The purpose of this exercise is to check your understanding on setting up equations and showing the steps to solving a simple equation.
⦁ Write an equation that could be used to solve for Ashton’s age, x.
⦁ Use your equation to solve and find out how old Ashton is. Show your work.
⦁ Set up an equation and show your work to find out how old Bentley is.

Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
Ashton is x years old.
Bentley is 2 years older than Ashton.
Bentley's age = (x+2) years
Three times Bentley’s age is equal to 18.
3*(x+2) =18
3x+6 =18
3x+6-6= 18-6
3x = 12
3x/3 = 12/3
x=4
Ashton's age is 4 years
Bentley's age = x+2
= 4+2 = 6 years

Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website!
.

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
    - Selected age word problems from the archive
    - Age problems for mental solution
    - Age problem for three participants
    - Miscellaneous age problems
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.

Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website!
Ashton, x
Bentley , x+2

.
.

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Set up an equation and show your work to find out how old Bentley is.
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One could just use the description for x and the expression x+2 to evaluate Bentley's age. Another way is like this:
b, Bentley
b-2, Ashton
and then follow the description to form the necessary equation.