Four consecutive odd integers have a sum of 280. What are the integers?

解

F o u r co n sec u t i v e o dd in t e g ers ha v e a s u m o f 280. Wha t a re t h e in t e g ers ?

The numbers : 67, 69, 71, 73

解答ステップ

Represent the numbers with

x

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

A.T.Q.:

x + x + 2 + x + 4 + x + 6 = 280

解く

x + x + 2 + x + 4 + x + 6 = 280 : x = 67

x + 2 = 67 + 2 = 69

x + 4 = 67 + 4 = 71

x + 6 = 67 + 6 = 73

The numbers : 67, 69, 71, 73