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Mr. Mani’s age is 47 yr and John’s age is 13 yr. In how many years will Mr. Mani’s age be double of John’s age?
- a)20
- b)21
- c)10
- d)15
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Mr. Manis age is 47 yr and Johns age is 13 yr. In how many years will ...
Understanding the Problem
To determine when Mr. Manis's age will be double that of John's, we need to establish their current ages and the relationship between their future ages.
- Current age of Mr. Manis: 47 years
- Current age of John: 13 years
Setting Up the Equation
Let "x" represent the number of years from now. In "x" years:
- Mr. Manis's age will be: 47 + x
- John's age will be: 13 + x
We need to find when Mr. Manis's age will be double John's age:
Formulating the Equation
(47 + x) = 2(13 + x)
Solving the Equation
1. Distributing the 2:
- 47 + x = 26 + 2x
2. Rearranging the equation:
- 47 - 26 = 2x - x
- 21 = x
Thus, in 21 years, Mr. Manis will be double John's age.
Verification
- In 21 years:
- Mr. Manis's age: 47 + 21 = 68
- John's age: 13 + 21 = 34
- Check if Mr. Manis's age is double John's:
- 68 is indeed double 34.
Conclusion
The correct answer is option 'B' (21 years). In 21 years, Mr. Manis will be double John's age, confirming the calculation is accurate.
To determine when Mr. Manis's age will be double that of John's, we need to establish their current ages and the relationship between their future ages.
- Current age of Mr. Manis: 47 years
- Current age of John: 13 years
Setting Up the Equation
Let "x" represent the number of years from now. In "x" years:
- Mr. Manis's age will be: 47 + x
- John's age will be: 13 + x
We need to find when Mr. Manis's age will be double John's age:
Formulating the Equation
(47 + x) = 2(13 + x)
Solving the Equation
1. Distributing the 2:
- 47 + x = 26 + 2x
2. Rearranging the equation:
- 47 - 26 = 2x - x
- 21 = x
Thus, in 21 years, Mr. Manis will be double John's age.
Verification
- In 21 years:
- Mr. Manis's age: 47 + 21 = 68
- John's age: 13 + 21 = 34
- Check if Mr. Manis's age is double John's:
- 68 is indeed double 34.
Conclusion
The correct answer is option 'B' (21 years). In 21 years, Mr. Manis will be double John's age, confirming the calculation is accurate.
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Question Description
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