SOLUTION: A number increased by 2/3 of the number is 35. What is the number?

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Question 405601: A number increased by 2/3 of the number is 35. What is the number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A number increased by 2/3 of the number is 35. What is the number?
:
Let n = "the number"
:
n + 2%2F3n = 35
12%2F3n = 35
which is
5%2F3n = 35
multiply both sides by 3, gets rid of the fraction
5n = 3(35)
5n = 105
divide both sides by 5
n = 105%2F5
n = 21 is the number
:
You can check this in the original equation