Question

sum of two members is 24 and their product is 143 .what is the sum of its square

Answer 1

Let the members be a  and b .

a² + b² = ( a+b )² - 2 ab

           = 24² - 2 × 143

         = 576 - 286

          = 290

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Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!}}}$

Let the number be x and y

$x + y = 24 \\ and \\ xy = 143 \\ (x + y) {}^{2} = (24) {}^{2} \\ x {}^{2} + y {}^{2} + 2xy = 576 \\ x {}^{2} + y {}^{2} = 576 - 2(143) \\ x {}^{2} + y {}^{2} = 576 - 286 \\ x {}^{2} + y {}^{2} = 290$
Hope it helps you