João and Cláudia received their grades on a math test. João's grade was $\star$ and Cláudia's was $\star *$. Together they scored $* \square \boxplus$. In addition, Cláudia scored 13 points more than João. What is the grade of each?

保留了源文本的换行和格式，但请注意，符号如 $\star$, $\square$, 和 $\boxplus$ 通常在数学问题中代表未知数或特定值。在翻译过程中，这些符号保持不变。
We need to find the values of the symbols in

![](https://cdn.mathpix.com/cropped/2024_05_01_2364a1ff751c3bd5ab7eg-4.jpg?height=126&width=299&top_left_y=1659&top_left_x=433)

The two scores are two-digit numbers and the sum has three digits, so the sum must be greater than 100 and less than 200, thus $*=1$.

However, Cláudia scored 13 points more than João, so $\frac{+13}{\star 1}$.

Now, since the sum of $\star$ and 3 must end in 1, we have $\star=8$, and therefore =6. Thus, the scores of Cláudia and João are, respectively, 81 and 68.