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    Three persons have their ages in the ratio 4 : 7 : 9. Eight years back their total age was 56. How old is the eldest now?
    Question

    Three persons have their ages in the ratio 4 : 7 : 9. Eight years back their total age was 56. How old is the eldest now?

    A.

    42

    B.

    36

    C.

    28

    D.

    32

    Correct option is B

    Given:

    Ratio of ages = 4 : 7 : 9

    Eight years ago, total age = 56

    Solution:

    Total age eight years ago:

    (4x - 8) + (7x - 8) + (9x - 8) = 56

    4x + 7x + 9x - 24 = 56

    20x - 24 = 56

    20x = 56 + 24

    20x = 80

    x = 80 / 20

    x = 4

    Ages of them - 

    4x=4×4=16 7x=7×4=28 9x=9×4=364x = 4 \times 4 = 16\\\ 7x = 7 \times 4 = 28\\\ 9x = 9 \times 4 = 36​​

    The eldest is 36 years old now.

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