Question

Sudhir's present age is $5$ more than three times the age of Viru, Anil's age is half the age of Sudhir. If the ratio of the sum of Sudhir's and Viru's age to three times Anil's age is $5:6$, then find Viru's age.

Answer 1

Let viru's age$=$x years

$\Rightarrow$ Sudhir's age $=5+3x$ yrs

$\Rightarrow$ Anil's age$=\frac{5+3x}{2}$ yrs

and $\frac{x+5+3x}{3\left(\frac{5+3x}{2}\right)}=\frac{5}{6}$

$\Rightarrow \frac{2(4x+5)}{5+3x}=\frac{5}{2}$

$\Rightarrow (8x+10)2=25+15x$

$\Rightarrow 16x+20=15x+25$

$\Rightarrow x=5$ years.