SOLUTION: The average Of four numbers is 56. The first number is 5 more than the second ; the third number is half of the second and the fourth number is three times the sum of the first an

Question 889122: The average Of four numbers is 56. The first number is 5 more than the second ; the third number is half of the second and the fourth number is three times the sum of the first and second numbers. Find the numbers.?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let , , , and be the numbers
(1)
(2)
(3)
(4)
----------------------
Substitute (2) into (4)
(4)
(4)
(4)
-----------------------
Substitute (2), (3), and (4) into (1)
(1)
(1)
(1)
Multiply both sides by
(1)
Multiply both sides by
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
and
(4)
(4)
(4)
-------------------
The numbers are 29, 24, 12, and 159
check:
(1)
(1)
(1)
(1)
OK

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