Multiple Choice Questions on Two number are in the ratio of 4 7 If 5 is subtracted from each the ratio becomes 1 2 Find the great........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Two number are in the ratio of 4 7 If 5 is subtracted from each the ratio becomes 1 2 Find the great...........

Quant (SSC) Ratio, Proportion
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    Two number are in the ratio of 4 : 7. If 5 is subtracted from each, the ratio becomes 1 : 2. Find the greater number.

    15

    Incorrect Answer

    40

    Incorrect Answer

    30

    Incorrect Answer

    35

    Correct Answer
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    Explanation:

    Let 1st number be 4k and 2nd number be 7k.
    According to the question,
    (4k - 5) / (7k - 5) = 1/2
    ⇒ 8k - 10 = 7k - 5
    ⇒ 8k - 7k = 10 - 5
    ∴ k = 5
    ∴ Greater number = 7k = 7 x 5 = 35

    Hence, option 4 is the correct answer.

    By: Amit Kumar
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