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The sum of 5 consecutive even integers is 350. What is the value of the greatest integer?

Solution

The sum of 5 consecutive even integers is 350. What is the value of the greatest integer?

Solution

The largest number : 74

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

Consecutive number 3 : x + 6

Consecutive number 4 : x + 8

A.T.Q.:

x + x + 2 + x + 4 + x + 6 + x + 8 = 350

Solve

x + x + 2 + x + 4 + x + 6 + x + 8 = 350 : x = 66

x + 2 = 66 + 2 = 68

x + 4 = 66 + 4 = 70

x + 6 = 66 + 6 = 72

x + 8 = 66 + 8 = 74

Select the largest solution:

74

The largest number : 74

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