A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

Options

A. a) 220030
B. b) 22030
C. c) 1220
D. d) 1250

Answer

To solve the problem step by step, we will follow the information given in the question.

### Step 1: Understand the problem
We are given that a number (let's call it \( x \)) when divided by the sum of 555 and 445 gives two times their difference as the quotient and 30 as the remainder.

### Step 2: Calculate the sum and difference
1. **Sum of 555 and 445**:
\[ \text{Sum} = 555 + 445 = 1000 \]

2. **Difference of 555 and 445**:
\[ \text{Difference} = 555 - 445 = 110 \]

### Step 3: Determine the quotient
According to the problem, the quotient is two times their difference:
\[ \text{Quotient} = 2 \times \text{Difference} = 2 \times 110 = 220 \]

### Step 4: Set up the equation
Using the formula for division:
\[ x = \text{Divisor} \times \text{Quotient} + \text{Remainder} \]
Substituting the values we found:
\[ x = 1000 \times 220 + 30 \]

### Step 5: Calculate the number
Now we will calculate \( x \):
\[ x = 1000 \times 220 + 30 = 220000 + 30 = 220030 \]

### Final Answer
The number is:
\[ \boxed{220030} \]

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