SOLUTION: the sum of five consecutive numbers is 100. find the first number.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the sum of five consecutive numbers is 100. find the first number.       Log On


   



Question 1189501: the sum of five consecutive numbers is 100. find the first number.

Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of five consecutive numbers is 100. find the first number.
========================
100/5 is the middle number.
------------------
If you want to add them:
---
(n-2) + (n-1) + n + (n+1) + (n+2) = 100
5n = 100
n = 20
n-2 = 18

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of five consecutive numbers is 100. find the first number.
n + (n+1) + (n+2) + (n+3) + (n+4) = 100
combine like terms
5n + 10 = 100
5n = 100 - 10
5n = 90
n = 90/5
n = 18 is the first number
:
:
Check 18+19+20+21+22 = 100