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    If A : B 3, then 144A : 36B is 
    Question

    If A : B 3, then 144A : 36B is 

    A.


    B.

    12

    C.

    3

    D.

    16

    Correct option is B

    Let's go through the solution step by step.

    Given:

    • A : B = 3
    • We need to determine the ratio 144A : 36B

    Step 1: Express the given ratio as a fraction
    Since A : B = 3, we can write:

    A / B = 3

    Multiplying both sides by 144 and 36 respectively:

    (144A) / (36B) = (144 × A) / (36 × B)

    Step 2: Substitute A / B = 3

    (144 × 3B) / 36B = (432B) / 36B

    Cancel B from numerator and denominator:

    432 / 36 = 12

    Final Answer: (B) 12

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