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    The product of two positive numbers is 9245. If the first number is five times of the second number, then the sum of the two numbers is:​
    Question

    The product of two positive numbers is 9245. If the first number is five times of the second number, then the sum of the two numbers is:​

    A.

    269

    B.

    266

    C.

    258

    D.

    257

    Correct option is C

    Given:

    Product of two positive numbers = 9245

    First number = 5 times the second number

    Find the sum of the two numbers.

    Solution:

    Let the second number be x

    Then the first number is 5x

    5x2=92455x^2 = 9245​​

    x2=92455=1849x^2 = \frac{9245}{5} = 1849​​

    x = 1849\sqrt{1849}​ = 43
    So,

    Second number = 43

    First number = 5 × 43 = 215

    Sum of the two numbers:

    215 + 43 = 258

    Alternate Solution(Exam - hall trick):

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