Question

The sum of two numbers is 6000. On dividing the larger number by the smaller, we get 2 as quotient and 600 as remainder. What is the larger number?

• A. 4000
• B. 4100
• C. 4200
• D. 4300

Hint:

Use dividend = divisor × quotient + remainder to form equations.

Answer 1

The Correct Option is C

Concept: Division algorithm: \[ Dividend = Divisor \times Quotient + Remainder \] Explanation: Let smaller number = $x$ Then larger number: \[ 2x + 600 \] Given sum: \[ x + (2x + 600) = 6000 \] \[ 3x + 600 = 6000 \] \[ 3x = 5400 \Rightarrow x = 1800 \] Larger number: \[ 2(1800) + 600 = 4200 \]