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The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Pooja's present age?
- a)36 years
- b)40 years
- c)58 years
- d)48 years
- e)42 years
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
The respective ratio between the present ages of Nayan and Pooja is 18...
Let the present age of Nayan and Pooja be 18x and 17x respectively
(18x - 9)/(17x - 9) = 15/14
252x – 126 = 255x – 135
3x = 9
x = 3
Leena’s present age = 17× 3 – 9 = 42 years
Most Upvoted Answer
The respective ratio between the present ages of Nayan and Pooja is 18...
Given Data:
- The ratio of Nayan and Pooja's present ages is 18 : 17.
- The ratio of Nayan and Pooja's ages nine years ago was 15 : 14.
Solution:
Step 1: Establishing equations
Let the present age of Nayan be 18x and Pooja be 17x.
Nine years ago, Nayan's age would have been 18x - 9 and Pooja's age would have been 17x - 9.
According to the second ratio, we can form the equation:
\[\frac{18x - 9}{17x - 9} = \frac{15}{14}\]
Step 2: Solving the equation
Cross multiplying the terms, we get:
14(18x - 9) = 15(17x - 9)
252x - 126 = 255x - 135
3x = 9
x = 3
Step 3: Calculating Present Ages
Nayan's present age = 18x = 18 * 3 = 54 years
Pooja's present age = 17x = 17 * 3 = 51 years
Step 4: Calculating Leena's Age
Given Leena's age is 9 years less than Pooja's present age.
Leena's age = Pooja's age - 9 = 51 - 9 = 42 years
Therefore, Leena's present age is 42 years, which corresponds to option E.
- The ratio of Nayan and Pooja's present ages is 18 : 17.
- The ratio of Nayan and Pooja's ages nine years ago was 15 : 14.
Solution:
Step 1: Establishing equations
Let the present age of Nayan be 18x and Pooja be 17x.
Nine years ago, Nayan's age would have been 18x - 9 and Pooja's age would have been 17x - 9.
According to the second ratio, we can form the equation:
\[\frac{18x - 9}{17x - 9} = \frac{15}{14}\]
Step 2: Solving the equation
Cross multiplying the terms, we get:
14(18x - 9) = 15(17x - 9)
252x - 126 = 255x - 135
3x = 9
x = 3
Step 3: Calculating Present Ages
Nayan's present age = 18x = 18 * 3 = 54 years
Pooja's present age = 17x = 17 * 3 = 51 years
Step 4: Calculating Leena's Age
Given Leena's age is 9 years less than Pooja's present age.
Leena's age = Pooja's age - 9 = 51 - 9 = 42 years
Therefore, Leena's present age is 42 years, which corresponds to option E.
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The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Poojas present age?a)36 yearsb)40 yearsc)58 yearsd)48 yearse)42 yearsCorrect answer is option 'E'. Can you explain this answer?
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The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Poojas present age?a)36 yearsb)40 yearsc)58 yearsd)48 yearse)42 yearsCorrect answer is option 'E'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Poojas present age?a)36 yearsb)40 yearsc)58 yearsd)48 yearse)42 yearsCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Poojas present age?a)36 yearsb)40 yearsc)58 yearsd)48 yearse)42 yearsCorrect answer is option 'E'. Can you explain this answer?.
The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Poojas present age?a)36 yearsb)40 yearsc)58 yearsd)48 yearse)42 yearsCorrect answer is option 'E'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Poojas present age?a)36 yearsb)40 yearsc)58 yearsd)48 yearse)42 yearsCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The respective ratio between the present ages of Nayan and Pooja is 18 : 17. Nine years ago the respective ratio between their ages was 15 : 14. How old is Leena if her present age is 9 years less than Poojas present age?a)36 yearsb)40 yearsc)58 yearsd)48 yearse)42 yearsCorrect answer is option 'E'. Can you explain this answer?.
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