Question

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?

Answer 1

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

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,

⇒
`x + 10 = y - 15` ...(equation 1)

After nine days,

⇒
`x + 18 = 2 ( y - 27 )` ...(equation 2)

On applying subtraction between the above two equations, we get

⇒
`8 = y - 39`

⇒
`y = 47`