isleoftrapdoo isleoftrapdoo
  • 01-05-2018
  • Mathematics
contestada

The sum of three consecutive numbers is 102. What is the middle number in this set?

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JennaForever
JennaForever JennaForever
  • 01-05-2018
the middle number is 34, hope this helps : )
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perixwinkle
perixwinkle perixwinkle
  • 29-06-2018
There’s one smaller number and one bigger number when looking at the middle number. We need to make equations for these numbers.
X= middle number
X-1= smaller number
X+1= bigger number

We need to add all of these numbers together and make it equal 102.
X+X-1+X+1=102
Now add like terms
3x= 102
Divide.
102/3=34
34 is the middle number, but we need to check. The list would be 33, 34, and 35.
Let’s add them all together.
33+34+35=102

So, the middle number of the set is 34.
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