Question

The sum of two number is 24 and the sum of their square is 386 then one number is??

Answer 1

Answer:

Step-by-step explanation:

let one number = x

let other number = y

according to question x + y = 24

so,     x = 24-y

and,

x^2. +y^2= 386

sub first equation

(24-y)^2 + y^2 = 386

576 + y^2 - 1152y +y^2= 382.                              ( x - y )^2 = x^2 +y^2-2xy

2y^2 -1152y +576-382

2y^2 - 1152y +194                                          (divide all terms by 2 )

y^2 - 576y +82

solve the eq and get the answer for y and resub in (x + y =24) for x

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