Let \( x \) represent Cassandra's younger brother's height in inches. According to the problem, Cassandra measured her height as 63 inches, which is stated to be 6 inches less than 3 times her younger brother’s height.
We can express this relationship in the form of an equation:
- Start with the relationship provided: "3 times her younger brother's height minus 6 inches equals Cassandra's height."
- This can be expressed mathematically as: \[ 3x - 6 = 63 \]
To rewrite the equation in the standard form \( px + q = r \):
- Add 6 to both sides of the equation to isolate the term with \( x \): \[ 3x - 6 + 6 = 63 + 6 \] Simplifying this gives: \[ 3x = 69 \]
Now we have the equation in the desired form:
\[ 3x + 0 = 69 \]
From this equation, we can identify:
- \( p = 3 \)
- \( q = 0 \)
- \( r = 69 \)
To find the brother's height \( x \), you would then solve: \[ x = \frac{69}{3} = 23 \]
Thus, Cassandra's younger brother is 23 inches tall.
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