The sum of 3 consecutive even numbers is 403.What is the largest of the numbers?

해법

T h e s u m o f 3 co n sec u t i v e e v e n n u mb ers i s 403. Wha t i s t h e l a r g es t o f t h e n u mb ers ?

The largest number : 136 \frac{1}{3}

솔루션 단계

Represent the numbers with

x

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = 403

x + x + 2 + x + 4 = 403

해결 :

x = \frac{397}{3}

x + 2 = \frac{397}{3} + 2 = \frac{403}{3}

x + 4 = \frac{397}{3} + 4 = \frac{409}{3}

부적절한 분수를 혼합 숫자로 변환:

\frac{397}{3} = 132 \frac{1}{3}

부적절한 분수를 혼합 숫자로 변환:

\frac{403}{3} = 134 \frac{1}{3}

부적절한 분수를 혼합 숫자로 변환:

\frac{409}{3} = 136 \frac{1}{3}

Select the largest solution:

136 \frac{1}{3}

The largest number : 136 \frac{1}{3}