My sister is one year older than \( I \) am. Together our ages add to 27 . Suppose my age is \( x \). Write this information as an equation.

If your age is \( x \), then your sister's age, being one year older, would be \( x + 1 \). Together, your ages sum up to 27, which gives us the equation: \[ x + (x + 1) = 27 \] Simplifying this, you'll have: \[ 2x + 1 = 27 \] Now you can solve for \( x \) to find out how old you are! To verify this equation, consider if you first calculate \( x \), then add one to get your sister's age. If you then add those two ages together, you should indeed arrive back at 27. This ensures your set-up is correct before tackling the solution!