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

1 answer

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:

\[ \boxed{96} \]