Question

right Konsa h Bahino ​

Answer 1

Answer:

19 is ur answer............... thanks thanks

Answer 2

Answer:

Step-by-step explanation:

Let the first number be = x

Let the second number be = y

Their sum is equal to 24,

⇒ x + y = 24

⇒ x = 24 - y ( Equation 1 )

Sum of their squares is equal to 386,

⇒ x² + y² = 386 ( Equation 2 )

Now we can solve the simultaneous equations by substituting ( 1 ) into ( 2 ),

⇒ ( 24 - y )² + y² = 386

⇒ ( 576 - 48y + y² ) + y² = 386

⇒ 2y² - 48y + 576 = 386

⇒ 2y² - 48y + 190 = 0 ( Simplifying by dividing by 2 )

⇒ y² - 24y + 95 = 0

Now we solve this quadratic equation,

⇒ y² - 24y +95 = 0

⇒ y² - 19y - 5y + 95 = 0 ( Factors of 95 are 19 and 5 )

⇒ y ( y - 19 ) - 5 ( y - 19 ) = 0

⇒ ( y - 5 )( y - 19 ) = 0

∴ y = 5 , y = 19

Now we solve for x,

⇒ x = 24 - y

⇒ x = 24 - 5

⇒ x = 19

Inputting second value of y,

⇒ x = 24 - 19

⇒ x = 5

Therefore, the two numbers are 19 and 5, but since the question is only asking for one then the right option will be 19.

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