A number when divided by the sum of 555 and 445 gives two times their…

2025

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

Answer: B. 220030Step-by-Step SolutionTo find the number, we can use the fundamental division algorithm, which states: Dividend = (Divisor × Quotient) + Remainder Calculate…

  1. A.

    22030

  2. B.

    220030

  3. C.

    23030

  4. D.

    24030

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Correct answer: B

Step-by-Step Solution

To find the number, we can use the fundamental division algorithm, which states: Dividend = (Divisor × Quotient) + Remainder

  1. Calculate the components:

    • Divisor: The sum of 555 and 445. Divisor = 555 + 445 = 1000

    • Quotient: Two times the difference of 555 and 445. Difference = 555 - 445 = 110 Quotient = 2 × 110 = 220

    • Remainder: Given as 30.

  2. Apply the division algorithm:

    • Number = (1000 × 220) + 30

    • Number = 220000 + 30

    • Number = 220030

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