SOLUTION: Hi! Can you help me solve this problem? Two numbers differ by 57. Their sum is 183.Find the #

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Hi! Can you help me solve this problem? Two numbers differ by 57. Their sum is 183.Find the #      Log On


   

Question 1093344: Hi!
Can you help me solve this problem?
Two numbers differ by 57. Their sum is 183.Find the #
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the numbers +a+ and b+
(1) +b+-+a+=+57+
(2) +b+%2B+a+=+183+
----------------------
Add the equations
+2b+=+240+
+b+=+120+
and
(2) +120+%2B+a+=+183+
Subtract +120+ from both sides of (2)
(2) +a+=+63+
and
The numbers are 63 and 120