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    Question

    The HCF of two numbers is 18 and their sum is 162. What

    is their LCM?
    A 324 Correct Answer Incorrect Answer
    B 320 Correct Answer Incorrect Answer
    C 245 Correct Answer Incorrect Answer
    D 360 Correct Answer Incorrect Answer

    Solution

    Ā Let the two numbers be x and y. We know that their HCF is 18, which means that both x and y are multiples of 18.Ā  Let x = 18a and y = 18b,Ā  where a and b are integers.Ā  We also know that x + y = 162.Ā  Substituting the values of x and y,Ā  we get 18a + 18b = 162, or a + b = 9.Ā  We can say that according to the optionĀ  If a = 5 and b = 4Ā  Then we can say that numbers will beĀ  18 x 5 = 90 and 18 x 4 = 72Ā  So the LCM of the numbers will beĀ  LCM of 90 and 72 is 360.

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