SOLUTION: If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number.

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Question 1157827: If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number.
Found 2 solutions by Shin123, MathTherapy:
Answer by Shin123(626)   (Show Source): You can put this solution on YOUR website!
The equation we get is .
Solved by pluggable solver: Solve an equation
This is a solution to the equation:
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=24.
  • Graphical form: Equation was fully solved.
  • Text form: (x-4)/4=(1/6)*x+1 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (x-4)/4=(1/6)*x+1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F6+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-x%2F6+%29,highlight_green%28+-1+%29
It becomes .
Look at .
Expanded term 1%2F4 by using associative property on %28x-4%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Factors 4 and 4 have greatest common factor (GCF) of 4. Reducing fraction.
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -2 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -2
It becomes .
Look at .
Eliminated similar terms highlight_red%28+x%2F4+%29,highlight_red%28+-x%2F6+%29 replacing them with highlight_green%28+%281%2F4-1%2F6%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F12+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+x%2F12-2=0+%29 equivalent to 0.0833333333333333*x-2 =0
It becomes .
Result:
This is an equation! Solutions: x=24.

Universal Simplifier and Solver


Done!
0=0;x=24
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Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

If 4 is subtracted from a certain number and the difference is divided by 4, the result is 1 more than 1/6 of the original number. Find the original number.
Let number be N

Then we get: 

3(N - 4) = 2N + 12 ------ Multiplying by LCD, 12

3N - 12 = 2N + 12

3N - 2N = 24

Number, or  

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