SOLUTION: Adding 1 to a certain number and taking one third of the result gives the same value as the original number. What is the number?

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Question 972315: Adding 1 to a certain number and taking one third of the result gives the same value as the original number. What is the number?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
n, the number.

n%2B1-%281%2F3%29%28n%2B1%29=n, if "taking" means, "removing".

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Adding 1 to a certain number and taking one third of the result gives the same value as the original number. What is the number?
Let number be N

Then, %281%2F3%29%28N+%2B+1%29+=+N________%28N+%2B+1%29%2F3+=+N

3N = N + 1 ------ Cross-multiplying

3N - N = 1

2N = 1

N, or number = highlight_green%281%2F2%29