Question 1166243
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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.<br>
So your first set of answers is what they are looking for.<br>
But in that set of answers, you don't show an equation in part e.<br>
The reason is that you skipped part d and tried to put the "equation" there.<br>
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.<br>
Let's look at your answers.<br>
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<br>
The next part asks for an expression for Joan's age 3 years from now.<br>
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.<br>
d. Joan's age 3 years from now will be 3 more than it is now: 3g+3<br>
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).<br>
You have the expressions for their ages 3 years from now; write the equation.<br>
e. (Joan's age 3 years from now) will be (is equal to) (2 more than her sister's age 3 years from now):<br>
(3g+3) = 2+2(g+3)<br>