SOLUTION: 5/12 of a number is subtracted from 3/4 of the number their positive difference is 7 less than 5/6 of the number. find the number

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Question 1098577: 5/12 of a number is subtracted from 3/4 of the number their positive difference is 7 less than 5/6 of the number. find the number
Answer by solver91311(24713) About Me  (Show Source):
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Let represent "the number".

Then is 3/4 of the number, and is 5/12 of the number. Since 3/4 is more than 1/2 and 5/12 is less than 1/2, 5/12 must be less than 3/4 and the positive difference must be .

7 less than 5/6 of the number is . So:



Solve for . Hint: Nothing in the problem restricts to the set of integers.

John

My calculator said it, I believe it, that settles it