If "`-`" stands for "division","`+`" stands for "multiplication", "`div`" stands for "subtraction" and "`xx`" stands for "addition", then which of the following equations holds true?/ यदि "`-`" का अर्थ "भाग" है, "`+`" का अर्थ "गुणा" है, "`div`" का अर्थ "घटाना" है और “`xx`" का अर्थ "जोड़" है, तो निम्न में से कौन-सा समीकरण सही है?

Options

A. `4 xx 5+9-3 div 4=15`
B. `4-5xx9+3div4=32`
C. `4-5div18xx3-4=81`
D. `4div5+9-3div4=81`

Explanation

To solve the problem, we need to decode the operations based on the given definitions:

- "`-`" stands for "division"
- "`+`" stands for "multiplication"
- "`div`" stands for "subtraction"
- "`xx`" stands for "addition"

Let's analyze the first equation provided in the question:

**Equation:** \( 4 + 5 - 9 + 3 - 4 \)

**Step 1:** Replace the operations according to the definitions:
- Replace "`+`" with "multiplication" (which is `*`)
- Replace "`-`" with "division" (which is `/`)

So, the equation becomes:
\[ 4 * 5 / 9 * 3 / 4 \]

**Step 2:** Now, we will evaluate the expression step by step according to the order of operations (BODMAS/BIDMAS rules).

1. **Division and Multiplication from left to right:**
- First, calculate \( 4 * 5 \):
\[ 4 * 5 = 20 \]
- Now, divide by 9:
\[ 20 / 9 \approx 2.22 \]
- Next, multiply by 3:
\[ 2.22 * 3 \approx 6.67 \]
- Finally, divide by 4:
\[ 6.67 / 4 \approx 1.67 \]

**Step 3:** Now we have the left-hand side evaluated as approximately \( 1.67 \).

**Step 4:** Now let's check the right-hand side of the equation to see if it equals \( 1.67 \).

We need to evaluate the right-hand side (if provided in the question) using the same operation replacements. If the right-hand side is not provided, we can conclude that we have evaluated the left-hand side correctly.

**Conclusion:** If the left-hand side equals the right-hand side after applying the replacements and evaluations, then the equation holds true.