Eight years ago, the age of Mr Gupta was four times that of his nephew, Rohit. After 6 years, Mr Gupta's age will be twice that of Rohit. Find the present age of Mr Gupta.
36 years
Let present ages of Mr Gupta and Rohit be G and R.
Eight years ago: \(G-8 = 4(R-8)\). In 6 years: \(G+6 = 2(R+6)\).
From the first equation: \(G = 4R-24\). Substituting: \(4R-24+6 = 2R+12 \Rightarrow 2R=30 \Rightarrow R=15\).
\(G = 4\times15-24 = 36\).
Hence, the present age of Mr Gupta is 36 years.