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Popular Word Problems >

The sum of three times a first number and twice a second number is 42 . If the second number is subtracted from twice the first number, the result is 14 . Find the first number. 6

Solution

T h e s u m o f t h ree t im es a f i rs t n u mb er an d tw i ce a seco n d n u mb er i s 42 . I f t h e seco n d n u mb er i s s u b t r a c t e d f ro m tw i ce t h e f i rs t n u mb er, t h e res u lt i s 14 . F in d t h e f i rs t n u mb er . 6

Solution

The number : 10

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

3 x + 2 y = 42

2 x - y = 14

3 x + 2 y = 42, 2 x - y = 14 : x = 10, y = 6

The number : 10

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