sflettre18 sflettre18
  • 18-02-2021
  • Mathematics
contestada

The sum of two numbers is twenty-one. One number is nineteen less than four times the other. Find the numbers.

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sqdancefan
sqdancefan sqdancefan
  • 18-02-2021

9514 1404 393

Answer:

  8, 13

Step-by-step explanation:

The given relationships can be put into two equations. Let x and y represent the numbers.

  x + y = 21 . . . . . their sum is 21

  y = 4x -19 . . . . .one is 19 less than 4 times the other

__

Substituting for y in the first equation, we get ...

  x + (4x -19) = 21

  5x = 40 . . . . . . . . . add 19

  x = 8 . . . . . . . . . . . divide by 5

  y = 4(8) -19 = 13

The two numbers are 8 and 13.

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