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Popular Word Problems >

There are two numbers. Twice the larger number increased by three times the smaller number equals 156. Four times the larger number decreased by the smaller number equals 158. Find the two numbers.

Solution

T h ere a re tw o n u mb ers . Tw i ce t h e l a r g er n u mb er in cre a se d b y t h ree t im es t h e s ma ll er n u mb er e q u a l s 156. F o u r t im es t h e l a r g er n u mb er d ecre a se d b y t h e s ma ll er n u mb er e q u a l s 158. F in d t h e tw o n u mb ers .

Solution

The numbers : 45, 22

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

2 x + 3 y = 156

4 x - y = 158

2 x + 3 y = 156, 4 x - y = 158 : x = 45, y = 22

The numbers : 45, 22

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