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    The ratio of two numbers is 14:25. If the sum of the two numbers is 390, find the larger number.
    Question

    The ratio of two numbers is 14:25. If the sum of the two numbers is 390, find the larger number.

    A.

    140

    B.

    190

    C.

    350

    D.

    250

    Correct option is D

    Given:
    The ratio of two numbers is 14 : 25
    Sum of the two numbers = 390
    Formula Used:
    Value of a part =  SumTotal parts\frac{Sum}{Total\ parts}​​
    Solution:
    Let the two numbers be 14x and 25x.
    According to the problem, the sum of the numbers is 390:
    14x + 25x = 390
    39x = 390
    x = 10
    The larger number corresponds to the ratio part 25.
    Larger number = 25 × 10 = 250
    Final Answer
    So the correct answer is (d)

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