The ratio of age of A and B is 6:5 and sum of their ages is 44 years :

The ratio of age of A and B is 6:5 and sum of their ages is 44 years. Agter 8 years the ratio of theri age will be
(a) 7:6
(b) 6:5
(c) 4:3
(d) 8:7

Anurag Mishra Professor Asked on 3rd February 2016 in Maths.
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    Answer:  (d) 8: 7 

    Solution:-
    The ratio of age of A and B = 6: 5
    Then, Let the age of A and B be 6 X and 5 X

    Sum of their ages = 44 years
    Then, 6 X + 5 X = 44
    11 X = 44
    X = 44/11
    X = 4

    So, the age of A = 6 X = 6 x 4 = 24 years and the age of B = 5 X = 4 x 5 = 20 years

    After 8 years their ages = 24 + 8 = 32 years & 20 + 8 = 28 years
    Then, the ratio of their ages = 32/28
    8: 7

    Hence, the correct answer is option (d) 8: 7. 

    Anurag Mishra Professor Answered on 3rd February 2016.
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