vibes3364 vibes3364
  • 23-02-2018
  • Mathematics
contestada

Find two consecutive even integers such that the smaller added to three times the larger gives a sum of 54

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SilverSister
SilverSister SilverSister
  • 23-02-2018
Let n be the first even integer, and n+2 will be the second even integer. (Why? Think 2 and 4, 2+2=4. This is the case for every consecutive even integers).

n + 3(n+2) = 54
n + 3n + 6 = 54
4n = 48
n = 12, n+2 = 14
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Photon
Photon Photon
  • 23-02-2018
Let's call x  the smaller integer and x + 2 the larger one.

[tex]x+3(x+2)=54[/tex]
[tex]x + 3x + 6 = 54[/tex]
[tex]4x = 48[/tex]
[tex]x= \frac{48}{4}=12[/tex]

And [tex]x+2=12+2=14[/tex]

Hope this helps !

Photon

Answer Link

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