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Popular Word Problems >

One number is two less than three times another number. Three times the larger number is four more than eight times the smaller number. What are the numbers?

Solution

O n e n u mb er i s tw o l ess t han t h ree t im es an o t h er n u mb er . T h ree t im es t h e l a r g er n u mb er i s f o u r m ore t han e i g h t t im es t h e s ma ll er n u mb er . Wha t a re t h e n u mb ers ?

Solution

The numbers : 28, 10

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 3 y - 2

3 x = 4 + 8 y

x = 3 y - 2, 3 x = 4 + 8 y : x = 28, y = 10

The numbers : 28, 10

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