SOLUTION: find the number, the sum of whose one half, one third and one fourth is 65.

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Question 175348: find the number, the sum of whose one half, one third and one fourth is 65.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be the number. So,
%281%2F2%29x%2B%281%2F3%29x%2B%281%2F4%29x=65
Get LCD:
%286x%2B4x%2B3x%29%2F12=65
Cross multiply then add:
13x=65%2A12=780
Divide by 13 to isolate x:
cross%2813%29x%2Fcross%2813%29=cross%28780%2960%2Fcross%2813%29
highlight%28x=60%29 -------------> the number, ANSWER
Let's check:
%281%2F2%2960%2B%281%2F3%2960%2B%281%2F4%2960=65
30%2B20%2B15=65
65=65
Thank you,
Jojo