SOLUTION: There are four numbers. The first is 20 less than the second, the thrid is one more than twice the first. The fourth is 4 morethan the second. I also know tat the sum of the first

Question 412103: There are four numbers. The first is 20 less than the second, the thrid is one more than twice the first. The fourth is 4 morethan the second. I also know tat the sum of the first and second equals the third and fourth numbers. Find the numbers.
Thanks for helping =)
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let represent the first number.

Then represents the second.

Then represents the third. (or "thrid" if you insist)

Then represents the fourth.

And finally:

Solve for .

John

My calculator said it, I believe it, that settles it

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
there are 4 unknowns, so I need to somehow get
4 equations in order to solve.
call the numbers a,b,c, and d
given:
(1)
(2)
(3)
(4)
OK, I have 4 equations, so it's solvable.
----------------
Substitute (1) and (3) in (4)
(4)
(4)
(4)
(4)
--------------
Substitute (1) in (2)
(2)
(2)
(2)
----------------
Substitute this value of in (4)
(4)
(4)
(4)
----------------
Plug this into (1)
(1)
(1)
(1)
----------------
Plug this into (2)
(2)
(2)
(2)
----------------
Plug into (3)
(3)
(3)
(3)
-----------------
The numbers are:
-5, 15, -9, and 19
check answer:
(1)

OK
(2)

OK
(3)

OK
(4)

OK
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