SOLUTION: Three quarters of a certain number exceeds two-thirds of it by 3. Find the number. Can you please help me find an equation for the above. Thanks in advance.:)

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Question 189680: Three quarters of a certain number exceeds two-thirds of it by 3. Find the number.
Can you please help me find an equation for the above. Thanks in advance.:)
Found 2 solutions by jim_thompson5910, Mathtut:
Answer by jim_thompson5910(21684) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = unknown number


"Three quarters of a certain number exceeds two-thirds of it by 3" translates to %283%2F4%29x=%282%2F3%29x%2B3


%283%2F4%29x=%282%2F3%29x%2B3 Start with the given equation.


cross%2812%29%5E3%28%283%2Fcross%284%29%29x%29=cross%2812%29%5E4%28%282%2Fcross%283%29%29x%29%2B12%283%29 Multiply EVERY term by the LCD 12 to clear the fractions.


9x=8x%2B36 Multiply and simplify.


9x-8x=36 Subtract 8x from both sides.


x=36 Combine like terms on the left side.


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Answer:

So the answer is x=36


So this means that the unknown number is 36.

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let the number be x.
:
(3/4)x=(2/3)x+3
:
9x=8x+36.........multiplied all terms by 12
:
x=36