SOLUTION: four numbers add up to 95. The second number is twice the first number, the third number is three times the first number and the fourth number is 25 more then the first number. wha

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: four numbers add up to 95. The second number is twice the first number, the third number is three times the first number and the fourth number is 25 more then the first number. wha      Log On


   

Question 877032: four numbers add up to 95. The second number is twice the first number, the third number is three times the first number and the fourth number is 25 more then the first number. what are the four numbers?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 4 numbers be
+a+, +b+, +c+, and +d+
------------------------------
(1) +a+%2B+b+%2B+c+%2B+d+=+95+
(2) +b+=+2a+
(3) +c+=+3a+
(4) +d+=+a+%2B+25+
------------------
Substitute (2), (3), and (4) into (1)
(1) +a+%2B+2a+%2B+3a+%2B+a+%2B+25+=+95+
(1) +7a+=+95+-+25+
(1) +7a+=+70+
(1) +a+=+10+
-----------------
(2) +b+=+2a+
(2) +b+=+2%2A10+
(2) +b+=+20+
----------------
(3) +c+=+3a+
(3) +c+=+3%2A10+
(3) +c+=+30+
--------------
(4) +d+=+a+%2B+25+
(4) +d+=+10+%2B+25+
(4) +d+=+35+
--------------
The four numbers are 10, 20, 30, and 35
check:
(1) +a+%2B+b+%2B+c+%2B+d+=+95+
(1) +10+%2B+20+%2B+30+%2B+35+=+95+
(1) +95+=+95+
OK