your brother is 1/3 your age.your sister is 6 years older than your brother. your sister is 10 years old. write and solve and equation to find your age a

12

First, subtract your brothers age out of your sisters.

Then multiply the answer by 3.

To find your age, we can set up an equation using the given information.

Let's assume your age is represented by the variable "x".

According to the information given, your brother is 1/3 your age. So, your brother's age would be (1/3) * x = x/3.

Your sister is 6 years older than your brother, meaning her age is x/3 + 6.

Given that your sister is 10 years old, we can equate her age to 10:

x/3 + 6 = 10

We can now solve this equation to find the value of x:

Subtract 6 from both sides:

x/3 = 10 - 6
x/3 = 4

Multiply both sides by 3 to isolate x:

3 * (x/3) = 4 * 3
x = 12

So, your age is 12 years old.