SOLUTION: In 5 years Kurt will be as twice as old as Vince. Five years ago, Kurt was three times as old as Vince. How old is each person now.

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Question 1173688: In 5 years Kurt will be as twice as old as Vince. Five years ago, Kurt was three times as old as Vince. How old is each person now.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Using x for Vince's age NOW and y for Kurt's age NOW.

Write as You Read:

 y + 5 = 2(x+5)            * Used below to find y

 y - 5 = 3(x-5)            * Used below to check our work

Expand

 y + 5 = 2x + 10

 y - 5 = 3x - 15

Set Up

  y - 2x = 5

  y - 3x = -10 

Multiplying 2nd EQ by -1 to eliminate y

   x = 15 , Vince's age now  and Kurt is 35 +y+%2B+5++=+40+

Checking our Work

 y - 5 = 3(x-5)

 30 = 30  checks

Wish You the Best in your Studies.