She is 12 because 12 + 2 = 14. (her age) 12 - 5 = 7, which is half of 14. So in two years she will be twice as old as she is now.
Although this answer is correct it does not show you how to solve the question. It only shows how this person solved it which he probably did in his head. This is the answer in equation form.
You are solving for x so;
x= her current age.
In two years(x+2) she will be 2 times the age she was 5 years ago; 2(x-5)
Order of operations: PEMDAS
x+2 =2(x-5) Parentheses
x+2 = 2x - 10 Add 10 to both sides
x+12 = 2x
x+12 - x = 2x - x Subtract x on both sides
12=x Answer is 12 = x
This is the answer your algebra teacher is looking for.
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