PaRADoXs
PaRADoXs PaRADoXs
  • 11-09-2020
  • Mathematics
contestada

find three consecutive odd integers with a sum of 75

Respuesta :

btsarmy17
btsarmy17 btsarmy17
  • 11-09-2020

Answer:

23, 25, 27

Step-by-step explanation:

first integer will be X, second will be (X+2), and the third will be (X+4). They will all be summed up and set equal to 75.

[tex](x) + (x + 2) + (x + 4) = 75[/tex]

combine like terms:

[tex]3x + 6 = 75[/tex]

subtract 6:

[tex]3x = 69[/tex]

divide by 3 to find value of X:

[tex] \frac{3x}{3} = \frac{69}{3} [/tex]

[tex]x = 23[/tex]

plug in X in o red der to finger the rest of the integers.

(X+2)= (23+2)=25

(X+4)= (23+4)=27

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