you are 6 years older than your sister she is 4 years older than your brother. write expressions to show your age and your sisters age if your brother is 4 years old.

4+x=sisters age

4+6+x= your age

To find the expressions for your age and your sister's age, given that your brother is 4 years old, we can start by assigning variables to represent the ages.

Let's say:
- Your age is represented by variable "x".
- Your sister's age is represented by variable "y".
- Your brother's age is fixed, which is 4 years old.

Now, we can create the expressions for your age and your sister's age based on the given information.

1. Your age (x):
Since you are 6 years older than your sister, we can write the expression for your age as:
x = y + 6

2. Your sister's age (y):
Since your sister is 4 years older than your brother, we can write the expression for her age as:
y = 4 + 4

Simplifying the expressions, we get:
x = y + 6
x = 8

Therefore, if your brother is 4 years old, you would be 8 years old, and your sister would be 8 + 6 = 14 years old.