Find two natural numbers whose sum is 50 and product 525?
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2 thoughts on “Find two natural numbers whose sum is 50 and product 525?<br />​”

1. [tex]\huge{ \underline{\boxed{\red{ \color{red}{\textsf {\textbf{An}{\color{blue}{\textbf {\textsf{sw}}{\color{green}{\textbf{\textsf{er}}}{\color{orange}{\textsf{\textbf{~:-}}}}}}}}}}}}}[/tex]

   let the required no. be x and y

   so according to the question

   => x+ y = 50 ——-(1)

   and => xy = 525 ——-(2)

   so put y = 525/x in eqn (1)

   we get ,

   => x + 525/x = 50

   => x^2 + 525 = 50x

   => x^2 -50x +525 = 0

   => x^2 -35x -15x + 525 =0

   => x(x-35) -15(x-35) =0

   => (x-35)(x-15) = 0

   => x-35 = 0 or x-15 = 0

   => x = 35 , 15

   # so the required number is 35 and 15

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2. let two numbers be € and ₩

   so

   €₩= 525 and

   €+₩= 50

   so ₩=50-€

   so €(50-€)=525

   50€-€²-525=0

   solving the quadratic..

   €²-50€+525=0

   €=50+-(2500-2100)½/2

   €=50+-20/2

   €=35 and 15

   so the two natural numbers are 35 and 15.

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