Answer:
13
Step-by-step explanation:
Susan's present age: x
Susan's age 3 years ago: x-3
Susan's age in 7 years: x+7=2(x-3)
Expand the equation: x+7=2x-6
Add 6 to both sides
x+13=2x
subtract x from both sides
x=13
Hope this helps!
Answer:
13 years old
Step-by-step explanation:
We can create some sort of chart to represent this question.
Now In 7 years 3 years ago
x x+7 x-3
We can represent Susan's present age as "x." In 7 years, Susan would be x+7, because if you were 2 years old, and you're thinking about how old you are in 7 years, you would do the math equation: 2+7 to figure out how old you would be in 7 years. You can use the same case for 3 years ago. 3 years ago from now (x) is x-3.
Now In 7 years 3 years ago
x x+7 x-3
2(x-3)
According to the second part of this question, In 7 years Susan will be 2 times as old as she was 3 years ago. In 7 years, Susan will be x+7. In 7 years, Susan will be 2 times 3 years ago, which is 2 times x-3. So you can create the equation: 2(x-3). We also know that x+7 is the SAME EXACT THING as 2(x-3), so we can create an equation:
x+7=2(x-3)
[2x-6]
x+7=2x-6
7+6=2x-x
x=13
We know that the present age is represented as "x." Since the value of x is 13, then:
Susan's present age is 13 years old.
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