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Popular Word Problems >

One number exceeds another by 12. If five times the smaller number is subtracted from three times the larger number, the result is 20. Find the numbers.

Solution

O n e n u mb er e x cee d s an o t h er b y 12. I f f i v e t im es t h e s ma ll er n u mb er i s s u b t r a c t e d f ro m t h ree t im es t h e l a r g er n u mb er, t h e res u lt i s 20. F in d t h e n u mb ers .

Solution

The numbers : 20, 8

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = y + 12

3 x - 5 y = 20

x = y + 12, 3 x - 5 y = 20 : x = 20, y = 8

The numbers : 20, 8

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