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Write the statements if you add 3 to one-third of a number you get 30 in the form of equations?
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Write the statements if you add 3 to one-third of a number you get 30 ...
Understanding the Problem
To solve the problem where adding 3 to one-third of a number equals 30, we first need to define the unknown number. Let's denote the unknown number as "x."
Formulating the Equation
We can break down the statement into elements to create the equation:
- One-third of the number can be expressed as (1/3)x or x/3.
- Adding 3 to this value gives us (x/3) + 3.
- According to the problem, this sum equals 30.
Constructing the Equation
Putting the elements together, we can write the equation as follows:
- (x/3) + 3 = 30
Solving the Equation
Now, we can solve the equation step by step:
- First, subtract 3 from both sides:
- (x/3) = 30 - 3
- (x/3) = 27
- Next, multiply both sides by 3 to isolate x:
- x = 27 * 3
- x = 81
Conclusion
The final result tells us that the number in question is 81. This concise breakdown demonstrates how to transform a verbal statement into a mathematical equation and solve it effectively. Understanding this process is vital for tackling similar problems in competitive exams like UPSC.
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Write the statements if you add 3 to one-third of a number you get 30 in the form of equations?
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