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

  1. A.

    22030

  2. B.

    220030

  3. C.

    23030

  4. D.

    24030

Attempted by 10 students.

Show answer & explanation

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

Explore the full course: Amcat Preparation