Question

Your brother is half your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an equation to find your age.

Answer 1

To find your age, we set up and solve an equation using the information given about the ages of your siblings. Your age is found to be 8 years old.

Step-by-step explanation:

To find your age, we need to solve for the unknown variable, which represents your age. Let's break down the information provided:

1. Your brother is half your age, so if we represent your age as x, then your brother's age is x/2.
2. Your sister is 6 years older than your brother, so your sister's age is x/2 + 6.
3. Your sister is 10 years old, so we can set up the equation: x/2 + 6 = 10.

To solve this equation, we can subtract 6 from both sides to isolate x/2: x/2 = 4.

Then we can multiply both sides by 2 to solve for x: x = 8.

So your age is 8 years old.