(C) Let the present ages of Vishal and Shekhar be $14x$ and $17x$ respectively.According to the problem,after $6 \, \text{years}$,the ratio of their a

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(C) Let the present ages of Vishal and Shekhar be $14x$ and $17x$ respectively.According to the problem,after $6 \, \text{years}$,the ratio of their ages will be $17: 20$.So,$\frac{14x + 6}{17x + 6} = \frac{17}{20}$.Cross-multiplying,we get: $20(14x + 6) = 17(17x + 6)$.$280x + 120 = 289x + 102$.Rearranging the terms: $289x - 280x = 120 - 102$.$9x = 18$.$x = 2$.Shekhar's present age is $17x = 17 \times 2 = 34 \, \text{years}$.

Competitive Quantitative Aptitude Problems on Ages Problems on Ages

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The present ages of Vishal and Shekhar are in the ratio of $14: 17$. $6 \, \text{years}$ from now,their ages will be in the ratio of $17: 20$. What is Shekhar's present age (in $\text{years}$)?

A
$17$
B
$51$
C
$34$
D
$28$

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The average age of $11$ players of a cricket team is increased by $2$ $months$ when two of them aged $18\, years$ and $20\, years$ are replaced by two new players. The average age of the new players is:

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The present ages of Vishal and Shekhar are in the ratio of $14: 17$. $6 \, \text{years}$ from now,their ages will be in the ratio of $17: 20$. What is Shekhar's present age (in $\text{years}$)?

Similar Questions

$A$ man's age is $125 \%$ of what it was $10 \, \text{years}$ ago, but $83 \frac{1}{3} \%$ of what it will be after $10 \, \text{years}$. What is his present age? (in $\text{years}$)

One $year$ ago,a father was four times as old as his son. In $6$ $years$ time,his age will exceed twice his son's age by $9$ $years$. The ratio of their present ages is:

Radha's present age is three years less than twice her age $12$ years ago. Also,the ratio between Raj's present age and Radha's present age is $4:9$. What will be Raj's age after $5$ years? (in years)

The ratio between the ages of Arun and Deepak at present is $4:3$. After $6$ years,Arun's age will be $26$ years. What is the age of Deepak at present? (in years)

The average age of $11$ players of a cricket team is increased by $2$ $months$ when two of them aged $18\, years$ and $20\, years$ are replaced by two new players. The average age of the new players is:

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