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If sum of a number and 4 times its fraction is 4, then find that number ?
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
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Understanding the Problem
To solve the problem, we need to analyze the given equation: the sum of a number and 4 times its fraction equals 4. Let's denote the unknown number as 'x'.
Setting Up the Equation
1. Define the fraction: The fraction of the number 'x' is x/1 (which is simply x).
2. Translate the statement: The problem states:
- x + 4 * (x/1) = 4
Formulating the Equation
Now, we can express the equation as:
- x + 4x = 4
Simplifying the Equation
1. Combine like terms:
- 5x = 4
Solving for x
1. Isolate x:
- x = 4/5
However, this result does not match the answer options provided, so let's go back and analyze if there's a misunderstanding in the problem statement.
Revisiting the Fraction Interpretation
It seems there’s a misinterpretation of "its fraction." Instead, we should consider "fraction of the number" as 1/x (the reciprocal).
1. Set up the correct equation:
- x + 4 * (1/x) = 4
Multiplying through by x
1. Clear the fraction:
- x^2 + 4 = 4x
Rearranging the Equation
1. Rearranging gives:
- x^2 - 4x + 4 = 0
Factoring the Quadratic
1. Factoring it:
- (x - 2)(x - 2) = 0
Finding the Solution
1. Thus, x = 2.
The correct answer is option B: 2.
To solve the problem, we need to analyze the given equation: the sum of a number and 4 times its fraction equals 4. Let's denote the unknown number as 'x'.
Setting Up the Equation
1. Define the fraction: The fraction of the number 'x' is x/1 (which is simply x).
2. Translate the statement: The problem states:
- x + 4 * (x/1) = 4
Formulating the Equation
Now, we can express the equation as:
- x + 4x = 4
Simplifying the Equation
1. Combine like terms:
- 5x = 4
Solving for x
1. Isolate x:
- x = 4/5
However, this result does not match the answer options provided, so let's go back and analyze if there's a misunderstanding in the problem statement.
Revisiting the Fraction Interpretation
It seems there’s a misinterpretation of "its fraction." Instead, we should consider "fraction of the number" as 1/x (the reciprocal).
1. Set up the correct equation:
- x + 4 * (1/x) = 4
Multiplying through by x
1. Clear the fraction:
- x^2 + 4 = 4x
Rearranging the Equation
1. Rearranging gives:
- x^2 - 4x + 4 = 0
Factoring the Quadratic
1. Factoring it:
- (x - 2)(x - 2) = 0
Finding the Solution
1. Thus, x = 2.
The correct answer is option B: 2.
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If sum of a number and 4 times its fraction is 4, then find that number ?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
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If sum of a number and 4 times its fraction is 4, then find that number ?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If sum of a number and 4 times its fraction is 4, then find that number ?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If sum of a number and 4 times its fraction is 4, then find that number ?a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
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