Question

The age of Vamsi's sister is $4\frac{1}{2}$ times that of Vamsi, where as his uncle is $30$ years older than him. If the total of their ages is $56$ years, what is the age of Vamsi?

• A. $12$ years
• B. $10$ years
• C. $8$ years
• D. $4$ years

Answer 1

The correct option is D $4$ years

Let the age of Vamsi be $x$.

$\therefore$ age of Vamsi's sister $=4\frac{1}{2}\times x=\frac{9}{2}x$

Age of Vamsi's uncle $=30+$ Vamsi's age $=30+x$

Given that:-

age of Vamsi's sister $+$ age of Vamsi + age of Vamsi's uncle $=56$

$\Rightarrow x+\frac{9}{2}x+30+x=56$

$\Rightarrow \frac{13}{2}x=56-30$

$\Rightarrow$ $13x=52$

$\Rightarrow$ $x=4$

Hence, age of Vamsi is $4$ years.