Math, asked by devikapinju8177, 11 months ago

Sum of two numbers is 12 and the sum of squares of these numbers is 74. Find the numbers

Answers

Answered by BrainlyPrince92
17

Answer:

Numbers are 5 and 7.

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Step-by-step explanation:

Refer to the Attachment.

Thanks ..!!!

Attachments:
Answered by InnocentBOy143
1

\huge\bigstar\mathfrak\Green{\underline{\underline{SOLUTION:}}}

Let the first number be x &

let the second number be y

So,

x + y= 12

y= 12-x......(1)

Now their squaring, we get

 =  >  {x}^{2}  + (x - 12) {}^{2}  = 74 \\  =  >  {x}^{2}  +  {x}^{2}   - 24x + 144 = 74 \\  =  > 2 {x}^{2}  - 24x + 70 = 0 \\  =  >  {x}^{2}  - 12x + 35 = 0 \\  =  >  {x}^{2}  - 7x - 5x + 35 = 0  \:  \: (factorise)\\  =  > x(x - 7) - 5(x - 7) = 0 \\  =  > (x - 7)(x - 5) = 0 \\  =  > x = 7 \:  \: or \: x = 5

Therefore,

x= 7 or x= 5

hope it helps ☺️

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