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Popular Word Problems >

Find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.

Solution

solve for

t h ree co n sec u t i v e e v e n in t e g ers s u c h t ha t t h e s u m o f t h e s ma ll es t n u mb er an d tw i ce t h e mi dd l e n u mb er i s 20 m ore t han t h e l a r g es t n u mb er .

Solution

The numbers : 10, 12, 14

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + 2 (x + 2) = 20 + x + 4

Solve

x + 2 (x + 2) = 20 + x + 4 : x = 10

x + 2 = 10 + 2 = 12

x + 4 = 10 + 4 = 14

The numbers : 10, 12, 14

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