Akshat’s age is double that of Gaurav. The sum of the ages of Akshat and Gaurav is double that of Rishab. 6 years hence the sum of the ages of Akshat and Rishab will be three times the age of Gaurav. Find their present ages.

<p>Let the ages of Akshat, Rishab, Gaurav be X, Y, Z years respectively.</p><p>X = 2 Z &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; . (1)</p><p>X + Z = 2 Y &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; . (2)</p><p> (X + 6 + Y + 6) = 3&nbsp; (Z + 6) &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; . (3)</p><p><span lang="EN-IN">Solve to get X = 24, Y = 18, Z = 12 years.</span></p>

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