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.