SOLUTION: What is the largest natural number less than 1 000 that us equal to the sum of 4 cansecutive natural numbers?

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Question 548462: What is the largest natural number less than 1 000 that us equal to the sum of 4 cansecutive natural numbers?
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Define the four consecutive numbers as:
x
x+1
x+2
x+3
-----
4x + 6 < 1000
.
Solve the equivalent equation.
.
4x + 6 = 1000
4x = 994
x = 248 R 2
.
248 + 249 + 250 + 251 = 998
.
Done.