What value correctly fills in the blank so that the expressions are equivalent?

32 + 72 = ____ (4 + 9)

1 answer

To find the value that correctly fills in the blank, we first calculate the left side of the equation:

\[ 32 + 72 = 104 \]

Next, we calculate the value of \( (4 + 9) \):

\[ 4 + 9 = 13 \]

Now, we can set up the equation based on the original expression:

\[ 104 = \text{blank} \times 13 \]

To find the value that fills in the blank, we can solve for it by dividing \( 104 \) by \( 13 \):

\[ \text{blank} = \frac{104}{13} = 8 \]

Thus, the value that correctly fills in the blank is:

\[ \boxed{8} \]