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The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is 1/3, then his present age is
- a)7 years
- b)6 years
- c)10 years
- d)8 years
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The sum of reciprocals of Sharma’s age 3 years ago and 5 years f...
let the present age of Sharma’s be x years
3 years ago his age would be-
(x-3)years
5 years from now his age will be -
(x+5)years
according to the problem -
1/(x-3) + 1/(x+5) = 1/3
wen u simplify we get the equation as x^2 - 4x - 21 =0
and we get the roots as -3 and 7..
since age cannot be negative -3 must be rejected.
therefore Sharma’s present age is 7 years.
Most Upvoted Answer
The sum of reciprocals of Sharma’s age 3 years ago and 5 years f...
Given:
The sum of reciprocals of Sharma's age 3 years ago and 5 years from now is 1/3.
To find:
Sharma's present age.
Solution:
Let's assume Sharma's present age is x years.
Reciprocals:
The reciprocal of a number is obtained by dividing 1 by the number.
So, the reciprocal of Sharma's age 3 years ago would be 1/(x-3) and the reciprocal of Sharma's age 5 years from now would be 1/(x+5).
Equation:
According to the given information, the sum of these reciprocals is equal to 1/3:
1/(x-3) + 1/(x+5) = 1/3
Multiplying through by the common denominator:
3[(x+5) + (x-3)] = (x-3)(x+5)
Simplifying the equation:
3(2x + 2) = x^2 + 2x - 15
6x + 6 = x^2 + 2x - 15
Rearranging the terms:
x^2 - 4x - 21 = 0
Factoring the quadratic equation:
(x - 7)(x + 3) = 0
Setting each factor equal to zero:
x - 7 = 0 or x + 3 = 0
Solving for x:
x = 7 or x = -3
Conclusion:
Since age cannot be negative, Sharma's present age is 7 years (Option A).
The sum of reciprocals of Sharma's age 3 years ago and 5 years from now is 1/3.
To find:
Sharma's present age.
Solution:
Let's assume Sharma's present age is x years.
Reciprocals:
The reciprocal of a number is obtained by dividing 1 by the number.
So, the reciprocal of Sharma's age 3 years ago would be 1/(x-3) and the reciprocal of Sharma's age 5 years from now would be 1/(x+5).
Equation:
According to the given information, the sum of these reciprocals is equal to 1/3:
1/(x-3) + 1/(x+5) = 1/3
Multiplying through by the common denominator:
3[(x+5) + (x-3)] = (x-3)(x+5)
Simplifying the equation:
3(2x + 2) = x^2 + 2x - 15
6x + 6 = x^2 + 2x - 15
Rearranging the terms:
x^2 - 4x - 21 = 0
Factoring the quadratic equation:
(x - 7)(x + 3) = 0
Setting each factor equal to zero:
x - 7 = 0 or x + 3 = 0
Solving for x:
x = 7 or x = -3
Conclusion:
Since age cannot be negative, Sharma's present age is 7 years (Option A).
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The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is1/3, then his present age isa)7 yearsb)6 yearsc)10 yearsd)8 yearsCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is1/3, then his present age isa)7 yearsb)6 yearsc)10 yearsd)8 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is1/3, then his present age isa)7 yearsb)6 yearsc)10 yearsd)8 yearsCorrect answer is option 'A'. Can you explain this answer?.
The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is1/3, then his present age isa)7 yearsb)6 yearsc)10 yearsd)8 yearsCorrect answer is option 'A'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is1/3, then his present age isa)7 yearsb)6 yearsc)10 yearsd)8 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of reciprocals of Sharma’s age 3 years ago and 5 years from now is1/3, then his present age isa)7 yearsb)6 yearsc)10 yearsd)8 yearsCorrect answer is option 'A'. Can you explain this answer?.
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