\\\\({\ extbf{Step - 1: Writing mathematical equation according to question}}\\\\) \\\\({\ ext{Let Laxmi's age be x,}}\\\\) \\\\({\ ext{Then according to question, }}\\\\) \\\\(\ ext{Laxmi's father is 49 years old. He is 4 years older than three time Laxmi's age}\\\\) \\\\({\ ext{49 = 4 + 3x}}\\\\) \\\\({\ extbf{Step - 2: Finding Laxmi's age}}\\\\) \\\\( \\Rightarrow {\ ext{ 49 = 4 + 3x}}\\\\) \\\\( \\Rightarrow {\ ext{ 45 = 3x}}\\\\) \\\\( \\Rightarrow {\ ext{ x = 15}}\\\\) \\\\({\ extbf{Hence, Laxmi's age is 15 years}}{\ ext{.}}\\\\)