SOLUTION: The sum of two numbers is 55. The smaller is 5 less than the larger what are the numbers

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Question 445469: The sum of two numbers is 55. The smaller is 5 less than the larger what are the numbers
Found 2 solutions by rajagopalan, josmiceli:
Answer by rajagopalan(174) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 55.
The smaller is 5 less =x
then the larger numbers=x+5
then x+x+5=55
2x+5=55
2x=55-5
2x=50
x=25
bravo

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the larger number = a
Let the smaller number = b
given:
(1) +a+%2B+b+=+55+
(2) +b+=+a+-+5+
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By substitution:
(1) +a+%2B+a+-+5+=+55+
(1) +2a+-+5+=+55+
(1) +2a+=+60+
(1) +a+=+30+
and
(2) +b+=+a+-+5+
(2) +b+=+30+-+5+
(2) +b+=+25+
The numbers are 25 and 30