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    Question

    The sum of two numbers is 801. When the larger number is

    divided by the smaller one, it results in a quotient of 41 with a remainder of 3. What is the difference between the two numbers?
    A 674 Correct Answer Incorrect Answer
    B 763 Correct Answer Incorrect Answer
    C 339 Correct Answer Incorrect Answer
    D 439 Correct Answer Incorrect Answer

    Solution

    Let, the larger number and smaller number be 'x' and 'y', respectively.

    x + y = 801 ....(i)

    x = y X 41 + 3

    Or, x = 41y + 3 ....(ii)

    Put the value of 'x' in equation (i) , we get,

    41y + 3 + y = 801

    Or, 42y = 798

    Or, y = 19

    Put the value of 'y' in equation (i) , we get,

    x + 19 = 801

    Or, x = 782

    Required difference = 782 - 19 = 763

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