What would be ratio?

The ratio of father’s age to that of the daughter’sage 4:1. the product of their present ages is 196. The ratio of their ages 5 years hence would be:

  1. 11:4
  2. 3:11
  3. 13:5
  4. 10:4
Anurag Mishra Professor Asked on 7th January 2016 in Maths.
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  • 1 Answer(s)

    Answer: (1) 11: 4 

    Explanation:-
    The ratio  of father’s age to that of the daughter’s age = 4: 1

    Let the father’s age  be 4 X and  daughter’s age be X

    The products of their present ages is 196.
    Then, 4 X x X = 196
    4 X^2 = 196
    X^2 = 196/4
    X^2 = 49
    Square root on both side,
    X = 7

    So, the present father’s age 4 X = 4 x 7 = 28 years & his daughter’s age X = 7 years.
    Then, father’s age after 5 years = 28 + 5 = 33 years  & his daughter’s age = 7 + 5 = 12.

    Thus, the ratio of their age = 33/12
    = 11: 4

    Hence, the correct answer is option (1) 11: 4.

    Anurag Mishra Professor Answered on 7th January 2016.
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