Let's denote Cassandra's height as \( C \) and her younger brother's height as \( B \).
According to the information given:
- Cassandra's height is 63 inches.
- This height is 6 inches less than 3 times her younger brother's height.
We can set up the equation based on this information:
\[ C = 3B - 6 \]
Now, plug in Cassandra's height:
\[ 63 = 3B - 6 \]
To solve for \( B \), first add 6 to both sides:
\[ 63 + 6 = 3B \] \[ 69 = 3B \]
Next, divide both sides by 3:
\[ B = \frac{69}{3} = 23 \]
So, Cassandra's younger brother is 23 inches tall.