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Popular Word Problems >

There are 3 consecutive even integers with a sum of 78. What is the value of the greatest integer?

Solution

T h ere a re 3 co n sec u t i v e e v e n in t e g ers w i t h a s u m o f 78. Wha t i s t h e v a l u e o f t h e g re a t es t in t e g er ?

Solution

The largest number : 28

Solution steps

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 = 78

Solve

x + x + 2 + x + 4 = 78 : x = 24

x + 2 = 24 + 2 = 26

x + 4 = 24 + 4 = 28

Select the largest solution:

28

The largest number : 28

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