konnani17
konnani17 konnani17
  • 12-10-2021
  • Mathematics
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The sum of four consecutive integers is 134. Find the integers. (please show your work)

Respuesta :

ha0588541
ha0588541 ha0588541
  • 12-10-2021

Answer:

Integers: 32,33,34,35

Step-by-step explanation:

Consecutive means back-to-back, with a difference of 1

Therefore this can be represented with the following equation (where x is the first number), and we can set this equal to the sum

[tex]x+(x+1)+(x+2)+(x+3)=134\\4x+6=134\\4x=128\\x=32[/tex]

Therefore since x = 32, all four integers are:

[tex]32,33,34,35[/tex]

If we check this, we can see that their sum equals to 134

[tex]32+33+34+35 = 134[/tex]

Hope this helps!

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