Let's denote Cassandra's younger brother's height as \( x \) inches.
According to the information provided, Cassandra's height (63 inches) is 6 inches less than 3 times her brother's height. We can write this relationship as an equation:
\[ 63 = 3x - 6 \]
Now, let's solve for \( x \).
- Add 6 to both sides of the equation:
\[ 63 + 6 = 3x \] \[ 69 = 3x \]
- Now divide both sides by 3:
\[ x = \frac{69}{3} = 23 \]
So, Cassandra's younger brother is 23 inches tall.