23×6= blank+(3 x 6)
The Correct Answer and Explanation is:
Let’s solve the equation step-by-step:
Given:
[
23 \times 6 = \text{blank} + (3 \times 6)
]
First, calculate the value of ( 23 \times 6 ):
[
23 \times 6 = 138
]
Next, calculate ( 3 \times 6 ):
[
3 \times 6 = 18
]
Now substitute these values into the equation:
[
138 = \text{blank} + 18
]
To find the value of “blank,” we need to isolate it by subtracting 18 from both sides of the equation:
[
138 – 18 = \text{blank}
]
[
\text{blank} = 120
]
Thus, the correct answer is:
[
\boxed{120}
]
Explanation:
This is a simple algebraic equation where the goal is to find the missing value (“blank”) in the equation ( 23 \times 6 = \text{blank} + (3 \times 6) ). We can think of this as an equation with a missing number on one side.
- Multiplying 23 by 6: We begin by calculating ( 23 \times 6 = 138 ). This gives us the total value on the left-hand side of the equation.
- Multiplying 3 by 6: On the right-hand side, we also need to evaluate ( 3 \times 6 = 18 ), which is the constant value added to the “blank.”
- Solving for the blank: The equation is now reduced to:
[
138 = \text{blank} + 18
]
To isolate the “blank,” we subtract 18 from both sides of the equation. This gives us:
[
138 – 18 = 120
]
Thus, the value of the “blank” is 120. - Final Check: To verify, substitute the value of “blank” back into the original equation:
[
23 \times 6 = 120 + (3 \times 6)
]
[
138 = 120 + 18
]
This is correct because both sides of the equation are equal.
Therefore, the correct solution to the problem is 120.