SOLUTION: The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers ?

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Question 1144975: The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers ?
Answer by ajspeller(2) About Me  (Show Source):
You can put this solution on YOUR website!
first # = x
second # = x+%2B+2
The sum of the numbers is 84, so add the expressions
x+%2B+%28+x+%2B+12+%29+=+84
Combine like terms
2x+%2B+12+=+84
Begin to isolate x by subtracting 12 from both sides
2x+%2B+12+-+12+=+84+-+12
Simplify
2x+%2B+0+=+72
2x+=+72
Divide by 2 to further isolate x
+%282x%29%2F2+=+%2872%29%2F2+
Simplify
x+=+36, this is the first number
36+%2B+12+=+48, the second number
CHECK:
The sum of the numbers should be 84
36+%2B+48+=+84
84+=+84 , Correct!