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the sum of three numbers is -4. The second number decreased by the third is equal to the first. the sum of the first and second numbers is -5. Find the numbers

Respuesta :

peblejackson103

Answer:


Step-by-step explanation:

X + Y + Z = -4 ( given)


X + Y = -5 (given)


-5 + Z = -4 ( x + Y = -5)


Z = 1


Y - Z = X ( given)


(Y - 1 ) + Y = -5 ( replacing value of X +Y = -5)



2Y = -4


Y = -2



X + Y = -5


X+ (-2) = -5


X = -3


Therefore


X = -3

Y = -2

Z = 1

yoodyannapolis

The three numbers are -3, -2 ,1.

Let the three numbers be a,b and c.

Then according to question

The sum of three numbers is -4. That is

... (1)

The sum of the first and second numbers is -5. That is

[tex]a+b=-5[/tex] ... (2)

Using equation (2) in (1) we get

[tex]-5 + c = -4 \\c= -4+5\\c=1[/tex]

Putting value of c in (1), we get

[tex]a+b=-5[/tex]

The second number decreased by the third is equal to the first. That is

[tex]b - c = a[/tex] ...(3)

Put (3) in (2) , we get  

[tex](b - 1 ) + b = -5\\2b = -4\\b = -2\\a + b = -5\\a+ (-2) = -5\\a = -3[/tex]

Therefore,  the numbers are a=-3,b=-2,c=1

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