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The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is four-thirds the present age of Lakhan, then what is the present age of Lakhan? (in years)?
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The sum of the ages of two friends Avish and Lakhan 14 years ago was o...
Understanding the Problem
We need to determine the present age of Lakhan based on the information given about both friends' ages.
Given Information
- The sum of their ages 14 years ago was one-third of the sum of their present ages.
- Avish's present age is four-thirds of Lakhan's present age.
Let’s Define Variables
- Let Lakhan's present age be L years.
- Consequently, Avish's present age will be (4/3)L years.
Setting Up the Equation
1. Current Ages:
- Sum of present ages = L + (4/3)L = (7/3)L.
2. Ages 14 Years Ago:
- Lakhan's age 14 years ago = L - 14.
- Avish's age 14 years ago = (4/3)L - 14.
- Sum of ages 14 years ago = (L - 14) + ((4/3)L - 14) = (7/3)L - 28.
3. Formulating the Equation:
- According to the problem, (7/3)L - 28 = (1/3)((7/3)L).
- Simplifying this gives us: (7/3)L - 28 = (7/9)L.
Solving the Equation
- Rearranging the equation leads to:
- (7/3)L - (7/9)L = 28.
- Converting (7/3)L to a common denominator:
- (21/9)L - (7/9)L = 28
- (14/9)L = 28.
- Multiplying both sides by 9/14:
- L = 18.
Conclusion
Thus, the present age of Lakhan is 18 years.
We need to determine the present age of Lakhan based on the information given about both friends' ages.
Given Information
- The sum of their ages 14 years ago was one-third of the sum of their present ages.
- Avish's present age is four-thirds of Lakhan's present age.
Let’s Define Variables
- Let Lakhan's present age be L years.
- Consequently, Avish's present age will be (4/3)L years.
Setting Up the Equation
1. Current Ages:
- Sum of present ages = L + (4/3)L = (7/3)L.
2. Ages 14 Years Ago:
- Lakhan's age 14 years ago = L - 14.
- Avish's age 14 years ago = (4/3)L - 14.
- Sum of ages 14 years ago = (L - 14) + ((4/3)L - 14) = (7/3)L - 28.
3. Formulating the Equation:
- According to the problem, (7/3)L - 28 = (1/3)((7/3)L).
- Simplifying this gives us: (7/3)L - 28 = (7/9)L.
Solving the Equation
- Rearranging the equation leads to:
- (7/3)L - (7/9)L = 28.
- Converting (7/3)L to a common denominator:
- (21/9)L - (7/9)L = 28
- (14/9)L = 28.
- Multiplying both sides by 9/14:
- L = 18.
Conclusion
Thus, the present age of Lakhan is 18 years.
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The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is four-thirds the present age of Lakhan, then what is the present age of Lakhan? (in years)?
Question Description
The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is four-thirds the present age of Lakhan, then what is the present age of Lakhan? (in years)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is four-thirds the present age of Lakhan, then what is the present age of Lakhan? (in years)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is four-thirds the present age of Lakhan, then what is the present age of Lakhan? (in years)?.
The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is four-thirds the present age of Lakhan, then what is the present age of Lakhan? (in years)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is four-thirds the present age of Lakhan, then what is the present age of Lakhan? (in years)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the ages of two friends Avish and Lakhan 14 years ago was one-third of the sum of their present ages. If the present age of Avish is four-thirds the present age of Lakhan, then what is the present age of Lakhan? (in years)?.
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