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Popular Word Problems >

The sum of two numbers is 2780 . Twice the larger number plus three times the smaller number is 591 . Find the numbers.

Solution

T h e s u m o f tw o n u mb ers i s 2780 . 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 591 . F in d t h e n u mb ers .

Solution

The numbers : 7749, - 4969

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 2780

2 x + 3 y = 591

x + y = 2780, 2 x + 3 y = 591 : x = 7749, y = - 4969

The numbers : 7749, - 4969

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