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A number exceeds its one-fifth by 20. The number is
  • a)
    5
  • b)
    20
  • c)
    25
  • d)
    100
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A number exceeds its one-fifth by 20. The number isa)5b)20c)25d)100Cor...
Understanding the Problem
In this problem, we need to find a number that exceeds its one-fifth by 20. Let's denote the unknown number as "x".
Setting Up the Equation
1. Identify One-Fifth of the Number:
One-fifth of the number can be expressed as:
- (1/5)x = x/5
2. Formulate the Condition:
According to the problem, the number exceeds its one-fifth by 20, which can be written as:
- x = (x/5) + 20
Solving the Equation
1. Multiply the Entire Equation by 5:
To eliminate the fraction, multiply every term by 5:
- 5x = x + 100
2. Rearrange the Equation:
Subtract x from both sides:
- 5x - x = 100
- 4x = 100
3. Divide by 4:
Now, divide both sides by 4 to isolate x:
- x = 100 / 4
- x = 25
Conclusion
The calculated value of x is 25. Therefore, the number that exceeds its one-fifth by 20 is 25, which corresponds to option 'C'.
Verification
- One-fifth of 25 is 5.
- 25 exceeds 5 by 20, confirming our solution.
Free Test
Community Answer
A number exceeds its one-fifth by 20. The number isa)5b)20c)25d)100Cor...
Let the number be x.
According to the question,
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