Let's define the two figures. Let the first figure be \( x \) and the second figure be \( y \).
According to the problem, we have the following two equations:
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The sum of both figures is 99: \[ x + y = 99 \]
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The first figure is 9 short of the second: \[ x = y - 9 \]
Now, we can substitute the expression for \( x \) from the second equation into the first equation:
\[ (y - 9) + y = 99 \]
Combining the \( y \) terms:
\[ 2y - 9 = 99 \]
Now, add 9 to both sides:
\[ 2y = 99 + 9 \] \[ 2y = 108 \]
Next, divide both sides by 2 to solve for \( y \):
\[ y = \frac{108}{2} = 54 \]
Thus, the second figure \( y \) is 54.
To verify, we can find \( x \):
\[ x = y - 9 = 54 - 9 = 45 \]
Now, check the sum:
\[ x + y = 45 + 54 = 99 \]
Both conditions are satisfied. Therefore, the second figure is indeed \( \boxed{54} \).
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