The ratio of present age of Abhi and Vishal is 7 : 8 . After 6 years from now , the ratio of their ages will be 8 : 9 . If Kartik's present age is 10 years more than the present age of Abhi . Then find present age of Kartik (in years)?
Answer & explanation
Correct answer: option 4
ratio of → Abhi : Vishal
7 : 8
Let the present age Abhi = 7x & present age of Vishal = 8x
After 6 years ,
According to question ,
ratio of → Abhi : Vishal
8 : 9
\(\frac{7x\;+\;6}{8x\;+\;6}\) = \(\frac{8}{9}\)
63x + 54 = 64x + 48
x = 6
present age Abhi = 7x
age of Abhi = 7 × 6 = 42
Kartik is 10 years older than Abhi .
Then, age of Kartik = 42 + 10 = 52 years