Respuesta :
Answer: The numbers are 5 and (-) 4
Explanation:
Let the larger number be x
Let the smaller number be y
According to question,
[tex]x-y=9[/tex] ---- equation (1)
and
[tex]x^2-y^2=9[/tex] --- equation (2)
Now, we use the equation (2)
[tex](x-y)(x+y)=9\\9 \times (x+y)=9\\(x+y)= \frac{9}{9}\\x+y=1[/tex]
So, the only possible number can x = 5 and y = (-) 4
as it satisfies both the equations.
GIVEN - The subtraction of the smaller number from the larger number be 9.
The subtraction of the square of the smaller number from the square larger number be 9.
Find the number
to proof =
let larger number be x
and let the smaller number be y
[tex]x - y =9[/tex]
and the second equation becomes
[tex]x^{2} -y^{2} = 9[/tex]
by using the equation
we have
[tex]x^{2} -y^{2}[/tex] = (x - y) (x +y)
now put this in the above equation we get
thus we have
(x-y) (x+y) = 9
as we have (x-y) =9
put in the above equation
we get
(x + y ) =1
by solving the equation (x + y ) = 1 & (x - y) = 9
we get x = 5 & y = -4
Hence proved
