My cousin is four years younger than I am. Togethe our ages add to 26 . Suppose my age is \( x \). Write this information as an equation.

You can represent your age as \( x \), and since your cousin is four years younger, your cousin's age would be \( x - 4 \). When you add your ages together, it equals 26. Therefore, the equation can be expressed as: \[ x + (x - 4) = 26. \] This simplifies to \( 2x - 4 = 26 \). Now, let's find out what that means for your age! To solve for \( x \), you would first add 4 to both sides, giving you \( 2x = 30 \). Then, divide both sides by 2, leading to \( x = 15 \). So, you're 15 years old, and your cousin is 11! 🎉