Which of the following numbers makes the equation true?
$(19 - 10) + 5 = (13 -$ __ $) + 6$

5

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8

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7

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9

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Solution

The correct option is A $5$
As per the order of operations:
1. First, simplify the parentheses from left to right.
2. Simplify multiplication or division, whichever appears first from left to right, followed by addition or subtraction, whichever appears first from left to right.

Evaluate the expression $(19 - 10) + 5$ by following the order of operations.
We simplify $(19 - 10) + 5$ .
$(19 - 10) + 5$
$(9 + 5) = 14$
So, $(19 - 10) + 5$ = $(9 + 5) = 14$

For the RHS to be equal to the LHS, the value in the parenthesis should be equal to 8 since 8 + 6 = 14.

Since 13 - 5 = 8, the missing value is equal to 5.

Hence, option C is correct.

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