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Bot GPT-4o Let's denote the age of the other two girls, which are equal, as \( x \).
First, let's calculate the total age of the 8 girls whose average age is 15:
\[ \text{Total age of 8 girls} = 8 \times 15 = 120 \text{ years} \]
Next, we calculate the total age of the 6 girls whose average age is 13:
\[ \text{Total age of 6 girls} = 6 \times 13 = 78 \text{ years} \]
Now, the total age of all 8 girls includes the age of the 6 girls plus the age of the 2 remaining girls:
\[ 120 = 78 + 2x \]
To find the age of each of the 2 remaining girls, we'll solve for \( x \):
\[ 120 - 78 = 2x \]
\[ 42 = 2x \]
\[ x = \frac{42}{2} \]
\[ x = 21 \]
Therefore, the age of each of the other two girls is \( 21 \) years.