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  1. The ratio of two natural numbers is 5:6. If a certain number is added to both the numbers, the ratio becomes 7:8. If the larger number exceeds the smaller number by 10, find the number added?
    2. A.
    5
    B.
    10
    C.
    20
    D.
    30
    E.
    None of these

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    Answer : Option C

    Explanation :

    Let the two numbers be 5x and 6x.
    Let the number added to both so that their ratio becomes 7:8 be k.
    (5x + k)/(6x + k) = 7/8
    42x = 7k => k = 2x.
    6x - 5x = 10 => x = 10
    k = 2x = 20.

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