Which one of the following is the minimum value of the sum of two integers whose products is 24?

Solution (By Examveda Team)

Let number are a, b
ab = 24 = 2 × 2 × 2 × 3
\[\begin{array}{*{20}{c}} {{\text{Possible}}\left( {a,\,b} \right){\text{pair of}}}&{{\text{Sum}}\left( {a + b} \right)} \\ {\left( {2,\,12} \right)}&{14} \\ {\left( {4,\,6} \right)}&{10} \\ {\left( {8,\,3} \right)}&{11} \\ {\left( {24,\,1} \right)}&{25} \end{array}\]
Then minimum value of the sum = 10