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Sunday, August 14, 2022

The ratio between the age of a father and a son at present is 5 : 2 respectively. Four years hence the ratio between the age of the son and his mother will be 1 : 2 respectively. What is the ratio between the present age of the father and the mother respectively?

The ratio between the age of a father and a son at present is 5 : 2 respectively. Four years hence the ratio between the age of the son and his mother will be 1 : 2 respectively. What is the ratio between the present age of the father and the mother respectively?
A3 : 4
B5 : 4
C4 : 3
DCannot be determined

Correct answer is: Cannot be determined

Explanation:

Let the present age of father and son be 5x and 2x years respectively.

After 4 years,

and mother's age = 2y years

Now, y = 2x + 4 => x = \(\Large \frac{y-4}{2}\)

Therefore, Father's present age = \(\Large 5\frac{ \left(y-4\right) }{2}\) years

 

Mother's present age = (2y - 4) years

Clearly, data are inadequate.

Nithin
answered Aug 15 '2022 at 7:37

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