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.:)

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(35256) (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

Start with the given equation.

Multiply EVERY term by the LCD to clear the fractions.

Multiply and simplify.

Subtract from both sides.

Combine like terms on the left side.

----------------------------------------------------------------------

Answer:

So the answer is

So this means that the unknown number is 36.
Answer by Mathtut(3670) (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
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