Four consecutive even integers sum to 20. What is the value of the least integer?

解

F o u r co n sec u t i v e e v e n in t e g ers s u m t o 20. Wha t i s t h e v a l u e o f t h e l e a s t in t e g er ?

The smallest number : 2

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 = 20

解く

x + x + 2 + x + 4 + x + 6 = 20 : x = 2

x + 2 = 2 + 2 = 4

x + 4 = 2 + 4 = 6

x + 6 = 2 + 6 = 8

Select the smallest solution:

2

The smallest number : 2