SOLUTION: The average is 40. The third is 12 more than the second is five times the first. the fourth is 8 less than the first find the numbers.

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Question 816464: The average is 40. The third is 12 more than the second is five times the first. the fourth is 8 less than the first find the numbers.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
first = a
second = b
third = c
fourth = d

a + b + c + d = 160
c = b + 12
c = 5a
d = a - 8.

Write everything in terms of one variable: a.

5a = b + 12 ---> b = 5a - 12
c = 5a
d = a - 8

a + b + c + d = 160
a + (5a - 12) + 5a + (a - 8) = 160
12a - 20 = 160
12a = 180
a = 15

The numbers are a = 15, b = 63, c = 75, and d = 7.