Question

What value correctly fills in the blank so that the expressions are equivalent?42+70= (6+10)

Answer 1

To determine the value that correctly fills in the blank, we first need to calculate the left-hand side of the equation:

\[
42 + 70 = 112
\]

Now, let's calculate the expression on the right-hand side, which is currently given as \( (6 + 10) \).

First, we add \( 6 + 10 \):

\[
6 + 10 = 16
\]

Now we need to set the expressions equal to each other:

\[
112 = 16
\]

Since this isn't correct, we must rewrite the expression on the right-hand side to reflect the correct total of 112.

One possible way to express this is:

\[
(6 + 10 + X) \quad \text{such that} \quad 16 + X = 112
\]

Solving for \( X \):

\[
X = 112 - 16 = 96
\]

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

\[
\boxed{96}
\]