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Popular Word Problems >

Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times the smaller number.

Solution

solve for

tw o co n sec u t i v e o dd n u mb ers s u c h t ha t t h e s u m o f t h e l a r g er n u mb er an d tw i ce t h e s ma ll er n u mb er i s 27 l ess t han f o u r t im es t h e s ma ll er n u mb er .

Solution

The numbers : 29, 31

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 2

A.T.Q.:

x + 2 + 2 x = 4 x - 27

Solve

x + 2 + 2 x = 4 x - 27 : x = 29

x + 2 = 29 + 2 = 31

The numbers : 29, 31

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