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Popular Word Problems >

The sum of two numbers is 90 . Three times the larger number decreased by twice the number is 160 . Find the numbers.

Solution

T h e s u m o f tw o n u mb ers i s 90 . T h ree t im es t h e l a r g er n u mb er d ecre a se d b y tw i ce t h e n u mb er i s 160 . F in d t h e n u mb ers .

Solution

The numbers : 68, 22

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 90

3 x - 2 y = 160

x + y = 90, 3 x - 2 y = 160 : x = 68, y = 22

The numbers : 68, 22

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