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Popular Word Problems >

The smaller of two numbers is nine less than five times the larger number. When four times the smaller number is subtracted from 7 the result is 443 . Find each of the numbers.

Solution

T h e s ma ll er o f tw o n u mb ers i s nin e l ess t han f i v e t im es t h e l a r g er n u mb er . Wh e n f o u r t im es t h e s ma ll er n u mb er i s s u b t r a c t e d f ro m 7 t h e res u lt i s 443 . F in d e a c h o f t h e n u mb ers .

Solution

The numbers : - 109, - 20

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 5 y - 9

7 - 4 x = 443

x = 5 y - 9, 7 - 4 x = 443 : x = - 109, y = - 20

The numbers : - 109, - 20

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