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Popular Word Problems >

Find two consecutive integers such that 7 times the smaller integer is 19 more than 6 times the larger integer.

Solution

solve for

tw o co n sec u t i v e in t e g ers s u c h t ha t 7 t im es t h e s ma ll er in t e g er i s 19 m ore t han 6 t im es t h e l a r g er in t e g er .

Solution

The numbers : 25, 26

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

7 x = 19 + 6 (x + 1)

Solve

7 x = 19 + 6 (x + 1) : x = 25

x + 1 = 25 + 1 = 26

The numbers : 25, 26

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