Present ages of Pritam 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?
Answer: A
Let the present ages of Pritam and Anand be \(5x\) years and \(4x\) years respectively.
Then, \(\frac{5x+3}{4x+3} =\frac{11}{9}\)
\(\Rightarrow\) \(9(5x + 3) = 11(4x + 3)\)
\(\Rightarrow 45x + 27 = 44x + 33\)
\(\Rightarrow 45x - 44x = 33 - 27\)
\(\Rightarrow x=6\)
\(\therefore\) Anand's present age \(=4x=24\) years