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    Question

    Two numbers are in the ratio 4 : 5 and their least

    common multiple (LCM) is 1800. What are the two numbers?
    A 335 and 250 Correct Answer Incorrect Answer
    B 440 and 500 Correct Answer Incorrect Answer
    C 360 and 450 Correct Answer Incorrect Answer
    D 265 and 150 Correct Answer Incorrect Answer

    Solution

    ATQ, Let numbers be 4k and 5k (4 and 5 are coprime). LCM of 4k and 5k = 20k. Given 20k = 1800 ⇒ k = 90. Numbers are: 4 × 90 = 360 and 5 × 90 = 450. Correct option: C) 360 and 450

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