A number when divided by `73` gives `34` as quotient and `23` as remainder. Find the number.

Options

A. `2504`
B. `2505`
C. `2506`
D. `2507`

Explanation

To find the number based on the given quotient and remainder when divided by 73, we can use the formula for division:

**Step 1: Understand the relationship between the number, quotient, divisor, and remainder.**
The formula is:
\[ n = (q \times d) + r \]
where:
- \( n \) is the number we want to find,
- \( q \) is the quotient,
- \( d \) is the divisor,
- \( r \) is the remainder.

**Step 2: Substitute the known values into the formula.**
From the problem, we know:
- \( q = 34 \) (the quotient),
- \( d = 73 \) (the divisor),
- \( r = 23 \) (the remainder).

Substituting these values into the formula gives:
\[ n = (34 \times 73) + 23 \]

**Step 3: Calculate the product of the quotient and the divisor.**
Now, we calculate \( 34 \times 73 \):
\[ 34 \times 73 = 2482 \]

**Step 4: Add the remainder to the product.**
Next, we add the remainder to this product:
\[ n = 2482 + 23 = 2505 \]

**Step 5: State the final answer.**
Thus, the number is:
\[ n = 2505 \]

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