SOLUTION: When one-nineth of a number is added to one-third of the number, the sum is 180 more than the number. What is the number?

Question 514983: When one-nineth of a number is added to one-third of the number, the sum is 180 more than the number. What is the number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Just write an equation for what it says
"When one-nineth of a number is added to one-third of the number, the sum is 180 more than the number."
n + n = n + 180
we can use a common denominator for the fractions here
n + n = n + 180
which is
n = n + 180
Multiply both sides by 9
4n = 9(n+180)
4n = 9n + 1620
-1620 = 9n - 4n
-1620 = 5n
n =
n = -324
;
:
See if that works in the original statement:
(-324) + (-324) = -324 + 180
cancel the 9 and the 3 into -324
-36 - 108 = -144
-144 = -144; confirms our solution of n = -324

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