SOLUTION: Joan 3 times as old as her sister. In 3 years, she will be two more than twice the age of her sister will be then. What are their ages? Using variable g, express your answer to the

Question 1166243: Joan 3 times as old as her sister. In 3 years, she will be two more than twice the age of her sister will be then. What are their ages? Using variable g, express your answer to the following. (use small letter and no space/s in between)
a. Sister's age
b. Joan's age
c. Sister's age in three years
d. Joan ages in three years
e. Equation
how will I answered it based on the rules
a. g
b. 3g
c. g+3
d. 2+2(g+3)
e.
OR
a. 5
b. 15
c. 8
d. 18
Found 3 solutions by greenestamps, josgarithmetic, solver91311:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

As written, the problem doesn't ask you to solve the problem. It only asks you to write expressions for their current ages and their ages 3 years from now, and then to write the equation you would use to solve the problem.

So your first set of answers is what they are looking for.

But in that set of answers, you don't show an equation in part e.

The reason is that you skipped part d and tried to put the "equation" there.

It is a common error among beginning algebra students -- you try to write the equation before you have all the pieces you need to write it.

Let's look at your answers.

a. The instructions tell you to use g for the sister's (current) age: g
b. Joan is 3 times as old as her sister: 3g
c. The sister's age 3 years from now will be 3 more than it is now: g+3

The next part asks for an expression for Joan's age 3 years from now.

You didn't write an expression for this; instead, you tried to use the given fact that her age 3 years from now will be 2 more than twice her sister's age then. But that fact is what you use to write the equation; before you can write the equation, you need the expression for Joan's age 3 years from now.

d. Joan's age 3 years from now will be 3 more than it is now: 3g+3

NOW, in part e, you write the equation that says Joan's age 3 years from now will be 2 more than twice her sister's age then. That is, Joan's age 3 years from now (3g+3) is 2 more than twice her sister's age 3 years from now (g+3).

You have the expressions for their ages 3 years from now; write the equation.

e. (Joan's age 3 years from now) will be (is equal to) (2 more than her sister's age 3 years from now):

(3g+3) = 2+2(g+3)

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Joan, 3x
Sister, x

-

----------------- her sister's age now
-
--------------- Joan's age now
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

For part d, you only have half of the answer. The question is: What are Joan's ages in three years? One way to express it is, as you wrote , but the other way is just adding three to what you said is her age today, namely .

Now that you have two different ways to express Joan's age in three years, you can set these two expressions equal to each other to make the equation required in part e. The numbers you have are correct.

John

My calculator said it, I believe it, that settles it

I > �

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