SOLUTION: Two numbers add to 547 and the first is 143 bigger than the second. What are the two numbers?

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Question 852683: Two numbers add to 547 and the first is 143 bigger than the second. What are the two numbers?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
a + b = 547
a = b + 143
substitute for a in the first equation to get:
b + 143 + b = 547
combine like terms to get:
2b + 143 = 547
subtract 143 from both sides of the equation to get:
2B = 547 - 143
simplify to get:
2b = 404
divide both sides o0f the equation by 2 to get:
b = 202
a = b + 143 becomes a = 202 + 143 which becomes a = 345
you have:
a = 345
b = 202
a + b = 345 + 202 = 547
a = b + 143 becomes 345 = 202 + 143 which becomes 345 = 345
solution is:
a = 345
b = 202