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P tells q when my age was 4/5th of your present age, your age was 7/11th of my present age of q is 30 years, the present age of p is how many years?
Most Upvoted Answer
P tells q when my age was 4/5th of your present age, your age was 7/11...
Certainly! Let's break down the problem step by step.
Understanding the Problem
- Let P's present age be \( p \) years.
- Q's present age is given as \( q = 30 \) years.
Setting Up the Relationship
- According to P, when their age was \( \frac{4}{5} \) of Q's present age (30 years):
- P's age at that time = \( \frac{4}{5} \times 30 = 24 \) years.
- Let \( x \) be the number of years ago when P was 24. Thus:
- \( p - x = 24 \) (P's age \( x \) years ago)
- \( q - x = \frac{7}{11}p \) (Q's age \( x \) years ago was \( \frac{7}{11} \) of P's present age)
Setting Up the Equations
1. From P's age:
- \( p - x = 24 \)
- Therefore, \( x = p - 24 \)
2. From Q's age:
- \( 30 - x = \frac{7}{11}p \)
- Substituting \( x \):
- \( 30 - (p - 24) = \frac{7}{11}p \)
- Simplifying:
- \( 54 - p = \frac{7}{11}p \)
Solving the Equation
- Rearranging gives:
- \( 54 = p + \frac{7}{11}p \)
- \( 54 = \frac{18}{11}p \)
- Thus, \( p = 54 \times \frac{11}{18} = 33 \) years.
Conclusion
- Therefore, the present age of P is 33 years.
Understanding the Problem
- Let P's present age be \( p \) years.
- Q's present age is given as \( q = 30 \) years.
Setting Up the Relationship
- According to P, when their age was \( \frac{4}{5} \) of Q's present age (30 years):
- P's age at that time = \( \frac{4}{5} \times 30 = 24 \) years.
- Let \( x \) be the number of years ago when P was 24. Thus:
- \( p - x = 24 \) (P's age \( x \) years ago)
- \( q - x = \frac{7}{11}p \) (Q's age \( x \) years ago was \( \frac{7}{11} \) of P's present age)
Setting Up the Equations
1. From P's age:
- \( p - x = 24 \)
- Therefore, \( x = p - 24 \)
2. From Q's age:
- \( 30 - x = \frac{7}{11}p \)
- Substituting \( x \):
- \( 30 - (p - 24) = \frac{7}{11}p \)
- Simplifying:
- \( 54 - p = \frac{7}{11}p \)
Solving the Equation
- Rearranging gives:
- \( 54 = p + \frac{7}{11}p \)
- \( 54 = \frac{18}{11}p \)
- Thus, \( p = 54 \times \frac{11}{18} = 33 \) years.
Conclusion
- Therefore, the present age of P is 33 years.
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P tells q when my age was 4/5th of your present age, your age was 7/11th of my present age of q is 30 years, the present age of p is how many years?
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P tells q when my age was 4/5th of your present age, your age was 7/11th of my present age of q is 30 years, the present age of p is how many years? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P tells q when my age was 4/5th of your present age, your age was 7/11th of my present age of q is 30 years, the present age of p is how many years? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P tells q when my age was 4/5th of your present age, your age was 7/11th of my present age of q is 30 years, the present age of p is how many years?.
P tells q when my age was 4/5th of your present age, your age was 7/11th of my present age of q is 30 years, the present age of p is how many years? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about P tells q when my age was 4/5th of your present age, your age was 7/11th of my present age of q is 30 years, the present age of p is how many years? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P tells q when my age was 4/5th of your present age, your age was 7/11th of my present age of q is 30 years, the present age of p is how many years?.
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