Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?

124
227
340
4Cannot be determined

Answer:- 1

Explanation:-

Solution:

\begin{aligned} Let the present ages of Sameer and Anand be \\ 5 x years and 4 x years respectively \\ Then, \frac{5 x + 3}{4 x + 3} = \frac{11}{9} \\ \Rightarrow 9 (5 x + 3) = 11 (4 x + 3) \\ \Rightarrow 45 x + 27 = 44 x + 33 \\ \Rightarrow 45 x - 44 x = 33 - 27 \\ \Rightarrow x = 6 \\ ∴ Anand's present age \\ = 4 x \\ = 24 years \end{aligned}

$\eqalign{ & {\text{Let}}\,{\text{the}}\,{\text{present}}\,{\text{ages}}\,{\text{of}}\,{\text{Sameer}}\,{\text{and}}\,{\text{Anand}}\,{\text{be}}\, \cr & 5x\,{\text{years}}\,{\text{and}}\,4x\,{\text{years}}\,{\text{respectively}} \cr & {\text{Then,}}\,\frac{{5x + 3}}{{4x + 3}} = \frac{{11}}{9} \cr & \Rightarrow 9\left( {5x + 3} \right) = 11\left( {4x + 3} \right) \cr & \Rightarrow 45x + 27 = 44x + 33 \cr & \Rightarrow 45x - 44x = 33 - 27 \cr & \Rightarrow x = 6 \cr & \therefore {\text{Anand's}}\,{\text{present}}\,{\text{age}} \cr & = 4x \cr & = 24\,{\text{years}}\, \cr}$