1.

Two years ago the ratio of the ages of Swati and Khyati was 5 : 7 . Two years hence the ratio of their ages will be 7 : 9. What is the present age of Khyati ?

Answer»

16 years



Suppose TWO years age Swati's age was 5x and two years age Khyati's age was 7x.
So two years HENCE swati's age will be 5x + 4 and Khyati's age's will be 7x + 4.
But, 5x + 4/7x + 4 = 7/9
= 45x + 36 = 49 x + 28= 4x = 8
∴ x = 2
∴ Two years age Khyati's age was 14 years.
So, the present age of Khyati's is 16 years.



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