SOLUTION: The sum of two numbers is 160. Their difference is 38. Find the Numbers. Help me please!!

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Question 1049347: The sum of two numbers is 160. Their difference is 38. Find the Numbers.

Help me please!!
Found 2 solutions by hussamuddin, advanced_Learner:
Answer by hussamuddin(51) About Me  (Show Source):
You can put this solution on YOUR website!
160=x%2B%28x-38%29
160=x%2Bx-38
160=2x-38
160%2B38=2x
2x=198
x=198%2F2
The first number is x=99 and the second number is x-38=99-38 = 61.

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
The ruling equations are
a%2Bb=160
a-b=38
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Ca+%2B+1%5Cb+=+160%2C%0D%0A++++1%5Ca+%2B+-1%5Cb+=+38+%29%0D%0A++We'll use substitution. After moving 1*b to the right, we get:
1%2Aa+=+160+-+1%2Ab, or a+=+160%2F1+-+1%2Ab%2F1. Substitute that
into another equation:
1%2A%28160%2F1+-+1%2Ab%2F1%29+%2B+-1%5Cb+=+38 and simplify: So, we know that b=61. Since a+=+160%2F1+-+1%2Ab%2F1, a=99.

Answer: system%28+a=99%2C+b=61+%29.