Annie is x years old, and her sister, Sophie, is 7 years older.
In 5 years, Sophie will be twice Annie's age. Use this information to write an equation.
x+7 + 5 = 2(x+5)
Sure, here's an equation for you:
(Sophie's age in 5 years) = 2 * (Annie's age in 5 years)
(Sophie's current age + 5) = 2 * (Annie's current age + 5)
I hope this equation doesn't "subtract" from your understanding!
Let's start by assigning variables to Annie's and Sophie's current ages.
Let's say Annie's age is represented by x.
Since Sophie is 7 years older than Annie, Sophie's age can be represented as x + 7.
According to the information given, in 5 years Sophie will be twice Annie's age.
In 5 years, Annie's age will be x + 5, and Sophie's age will be x + 7 + 5.
So the equation becomes:
x + 7 + 5 = 2(x + 5)
To write an equation based on the given information, we first need to translate the given sentences into algebraic expressions or equations.
Let's break down the problem step by step:
1. Annie is x years old.
We simply represent Annie's age as x.
2. Sophie is 7 years older.
Since Sophie is 7 years older than Annie, her age can be represented as (x + 7).
3. In 5 years, Sophie will be twice Annie's age.
In 5 years, Annie's age will be (x + 5), and Sophie's age will be (x + 7 + 5). According to the information, Sophie's age in 5 years will be twice Annie's age, so we can write the equation as:
(x + 7 + 5) = 2(x + 5)
Now we can simplify the equation and solve for x.