[tex] {a}^{2} - {b}^{2} = 24[/tex]
[tex](a - b)(a + b) = 24[/tex]
[tex]2 \sqrt{2} (a + b) = 24[/tex]
[tex]a + b = \frac{24}{2 \sqrt{2} } [/tex]
[tex]a + b = \frac{24 \sqrt{2} }{2 \sqrt{2} \times \sqrt{2} } [/tex]
[tex]a + b = \frac{24 \sqrt{2} }{2 \times 2} [/tex]
[tex]a + b = \frac{24 \sqrt{2} }{4} [/tex]
[tex]a + b = 6 \sqrt{2} [/tex]