The present age of Vishal and Shekhar are in the ratio of 14 : 17 respectively. Six years from now, their age will be in the ratio of 17 : 20 respectively. What is Shekhar's present age?
The present age of Vishal and Shekhar are in the ratio of 14 : 17 respectively. Six years from now, their age will be in the ratio of 17 : 20 respectively. What is Shekhar's present age?
A7 years
B51 years
C34 years
D28 years
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Correct answer is: 34 years
Explanation:
Let the present age of Vishal and Shekhar be14x and 17x years respectively.
After 6 years,
\(\Large \frac{14x+6}{17x+6}=\frac{17}{20}\)\(\implies 280x + 120\)
\(\implies 289x + 102 = 9x = 18\)
\(\implies x = \frac{18}{9} = 2\)
Shekar's present age
\(=\Large 17 \times 2\)
= 34 years
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