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The larger of two numbers is one less than three times the smaller. if three times the larger is five more than eight times the smaller, find the number

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sqdancefan

Answer:

  8 and 23

Step-by-step explanation:

You want the numbers such that the larger is 1 less than 3 times the smaller, and 3 times the larger is 5 more than 8 times the smaller.

Setup

Let x represent the smaller number. Then (3x-1) is the larger number, and the other relation between them is ...

  3(3x-1) = 5 +8x

Solution

Simplifying the equation gives ...

  9x -3 = 8x +5

  x = 8 . . . . . . . . . add 3-8x to both sides

The larger number is 3(8)-1 = 23.

The two numbers are 8 and 23.

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