SOLUTION: When one half of a number is added to one third of a number, the answer is 30. Find the number.

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Question 943165: When one half of a number is added to one third of a number, the answer is 30. Find the number.
Answer by macston(5194) About Me  (Show Source):
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let N=number;N%2F2%2BN%2F3=30
%28N%2F2%29%283%2F3%29%2B%28N%2F3%29%282%2F2%29=30 Find common denominator
3N%2F6%2B2N%2F6=30
5N%2F6=30 multiply each side by 6
5N%286%29%2F6=30%286%29
5N=180 divide by 5
5N%2F5=180%2F5
N=36 ANSWER Number is 36
CHECK
%281%2F2%29N%2B%281%2F3%29N=30
%281%2F2%2936%2B%281%2F3%2936=30
18%2B12=30
30=30