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Popular Word Problems >

The sum of two numbers is 2022 . Twice the larger number plus three times the smaller number is 1999 . Find the numbers.

Solution

T h e s u m o f tw o n u mb ers i s 2022 . Tw i ce t h e l a r g er n u mb er pl u s t h ree t im es t h e s ma ll er n u mb er i s 1999 . F in d t h e n u mb ers .

Solution

The numbers : 4067, - 2045

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 2022

2 x + 3 y = 1999

x + y = 2022, 2 x + 3 y = 1999 : x = 4067, y = - 2045

The numbers : 4067, - 2045

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