Skyler is 2 years older than Sonya. In 9 years the sum of their ages will be 50. How old is Sonya now?

(A) Translate the given information into an equation using the variable x = current age of Sonya. Simplify the left side of your equation.

_____________ = 50

(B) How old is Sonya currently?

Sonya is__________ years old

(A) To solve this problem, we need to translate the given information into an equation. Let's assume that the current age of Sonya is represented by the variable x.

We are given that Skyler is 2 years older than Sonya, so Skyler's current age would be x + 2.

In 9 years, Sonya will be x + 9 years old, and Skyler will be (x + 2) + 9 = x + 11 years old.

The sum of their ages in 9 years will be (x + 9) + (x + 11) = 2x + 20 years.

We are also given that the sum of their ages in 9 years will be 50. So, we can set up the equation:

2x + 20 = 50

(B) Now, we need to solve the equation to find the current age of Sonya.

Subtracting 20 from both sides of the equation:

2x + 20 - 20 = 50 - 20

Simplifying the equation:

2x = 30

Dividing both sides of the equation by 2:

2x/2 = 30/2

Simplifying the equation:

x = 15

Therefore, Sonya is currently 15 years old.

(x+2) + 9 + x + 9 = 50

Solve for x.