17-09-2017
Mathematics

contestada

The sum of 5 consecutive integers is 120. What is the third number in this sequence?

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adri200305 adri200305

17-09-2017

Ok so

x - the smallest
The other 4 are : x+1, x+2, x+3, x+4
We know that sum is 120
So
x+x+1+x+2+x+3+x+4=120
Combine like terms
5x+10=120
Subtract 10 on both sides
5x=120-10
5x=110
Divide by 5 on both sides
X=22
The third number is x+2 = 22+2=24

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