Question

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

Answer 1

Answer:

Numbers are 5 and 7.

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Step-by-step explanation:

Refer to the Attachment.

Thanks ..!!!

Answer 2

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

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 ☺️