Four consecutive even integers add up to 348. What is the greatest of the 4 integers?

解

F o u r co n sec u t i v e e v e n in t e g ers a dd u p t o 348. Wha t i s t h e g re a t es t o f t h e 4 in t e g ers ?

The largest number : 90

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 = 348

解く

x + x + 2 + x + 4 + x + 6 = 348 : x = 84

x + 2 = 84 + 2 = 86

x + 4 = 84 + 4 = 88

x + 6 = 84 + 6 = 90

Select the largest solution:

90

The largest number : 90