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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 ?
- A15 years
- B16 years
- C17 years
- D18 years
Correct answer: B
Discussion 1
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CCommunity
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.
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.