anonymous
  • anonymous
The sum of four consecutive integers is 74. What is the first integer? 16 17 18 19
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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AbdullahM
  • AbdullahM
Do you know what consecutive integers mean?
anonymous
  • anonymous
17
anonymous
  • anonymous
Not consecutive.

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AbdullahM
  • AbdullahM
"Consecutive integers are integers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive integers, the mean and the median are equal. If n is an integer, then n, n+1, and n+2 would be consecutive integers. " ~ https://simple.wikipedia.org/wiki/Consecutive_integer
anonymous
  • anonymous
okay.
AbdullahM
  • AbdullahM
So, we can make an equation since we know they are consecutive integers... Also by seeing the example in the last paragraph I copied and pasted above. So we have: \(\sf\Large x + (x+1) + (x+2) + (x+3) = 74\)
AbdullahM
  • AbdullahM
Simplify that and solve for x.
anonymous
  • anonymous
okay
anonymous
  • anonymous
x+x+1+x+2+x+3=74 (x+x+x+x)+(1+2+3)=74 4 x's add 1+2+3=6 4x+6=74 subract 6 from both sides 4x=68 Divide both sides by 4 4x/4=68/4 And my answer was x=17
AbdullahM
  • AbdullahM
Correct, good job! :D
anonymous
  • anonymous
:)

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