If `5xx3 = 19 and 8xx 5 = 49`, then what should `6xx4` be?

यदि `5xx3 = 19 " और " 8xx5 = 49, " तो " 6xx4` क्या होना चाहिए?

Options

A. 24
B. 28
C. 18
D. 16

Explanation

To solve the problem, we need to identify the pattern used in the equations given. Let's analyze the equations step by step.

### Step 1: Analyze the first equation
The first equation is:
\[ 5 \times 3 = 19 \]

Calculating \( 5 \times 3 \):
\[ 5 \times 3 = 15 \]

Now, we notice that:
\[ 19 - 15 = 4 \]
This suggests that we are adding the difference between the two numbers (5 and 3) to the product:
\[ 5 - 3 = 2 \]
Then, we add this difference to the product:
\[ 15 + 4 = 19 \]

### Step 2: Analyze the second equation
The second equation is:
\[ 8 \times 5 = 49 \]

Calculating \( 8 \times 5 \):
\[ 8 \times 5 = 40 \]

Now, we notice that:
\[ 49 - 40 = 9 \]
This suggests that we are adding the difference between the two numbers (8 and 5) to the product:
\[ 8 - 5 = 3 \]
Then, we add this difference to the product:
\[ 40 + 9 = 49 \]

### Step 3: Apply the same logic to the third equation
Now, we need to find \( 6 \times 4 \):
Calculating \( 6 \times 4 \):
\[ 6 \times 4 = 24 \]

Now, we find the difference between the two numbers (6 and 4):
\[ 6 - 4 = 2 \]

We need to add this difference squared to the product:
\[ 2^2 = 4 \]

Now, we add this to the product:
\[ 24 + 4 = 28 \]

### Conclusion
Thus, the value of \( 6 \times 4 \) should be:
\[ 6 \times 4 = 28 \]

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