A number when divided by the sum of 555 and 445 gives two times their ...
Let the number be N
the quotient, in this case, would be = 2(555-445)= 2 x 110 = 220
The Divisor would be = 555+445 = 1000
Remainder = 30
therefore number N would be = Divisor x Quotient + Remainder
which would be = 1000 x 220 + 30 = 220030
A number when divided by the sum of 555 and 445 gives two times their ...
Understanding the Problem
To solve the problem, we need to analyze the relationship between the number, the sum of 555 and 445, and the quotient and remainder given.
Step 1: Calculate the Sum and Difference
- The sum of 555 and 445:
- 555 + 445 = 1000
- The difference of 555 and 445:
- 555 - 445 = 110
Step 2: Establish the Equation
According to the problem, when the number (let's call it 'N') is divided by the sum (1000), the quotient is twice the difference (2 * 110 = 220), and the remainder is 30.
This gives us the equation:
N = (Divisor * Quotient) + Remainder
Substituting the values:
N = (1000 * 220) + 30
Step 3: Calculate the Number
Now, we simplify the equation:
- Calculate 1000 * 220:
- 1000 * 220 = 220000
- Add the remainder:
- N = 220000 + 30 = 220030
Conclusion
Thus, the number is 220030, which corresponds to option 'A'.
The breakdown of the solution is as follows:
- Sum of 555 and 445 = 1000
- Difference of 555 and 445 = 110
- Quotient = 2 * Difference = 220
- N = (1000 * 220) + 30 = 220030
This verifies that the correct answer is indeed option 'A'.