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Question:
Luke has blue and red balls.
Every day, he wins 2 blue balls and loses 3 red ones
After 5 days, he has the same amount of blue and re
After 9 days, he has twice as many blue balls as rec
How many red balls did he have at the beginning?

Respuesta :

Answer:

The number of red balls, in the beginning, is 47.

Step-by-step explanation:

According to the question,

  • Luke gains 2 blue balls, losing 3 red balls every day.  
  • He seems to have similar amount of blue as well as red balls forward to 5 days.  
  • He does indeed have twice quite so many red balls as blue balls forward to 9 days.

Should let the number of blue balls will be "x" in the beginning and indeed the number of red balls will be "y".

After five days,

⇒  [tex]x + 10 = y - 15[/tex] ...(equation 1)

After nine days,

⇒  [tex]x + 18 = 2 ( y - 27 )[/tex] ...(equation 2)

On applying subtraction between the above two equations, we get

⇒  [tex]8 = y - 39[/tex]

⇒  [tex]y = 47[/tex]

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