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The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):
- a)32 years & 40 years
- b)40 years & 38 years
- c)28 years & 32 years
- d)20 years & 25 years.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The present age of Annu and Raj are in ratio of 4 : 5. 8 years from no...
Given:
The ratio of the present age of Annu and Raj = 4 : 5
Then after 8 years ratio of their age = 5 : 6
Calculation:
Let be assume the present age of Annu and Raj is 4x and 5x respectively
⇒ (4x + 8)/(5x + 8) = 5/6
⇒ 24x + 48 = 25x + 40
⇒ x = 8
⇒ The age of Annu = 4x = 4 × 8 = 32
⇒ The age of Raj = 5x = 5 × 8 = 40
∴ The required result will be 32 years, and 40 years respectively.
Most Upvoted Answer
The present age of Annu and Raj are in ratio of 4 : 5. 8 years from no...
Explanation:
Step 1: Set up the equations based on the given information
Let the present age of Annu be 4x years and the present age of Raj be 5x years.
According to the given information:
4x : 5x = 4 : 5 (present age ratio)
4x + 8 : 5x + 8 = 5 : 6 (age ratio after 8 years)
Step 2: Solve the equations
Cross multiply the ratios to get:
4(5x + 8) = 5(4x + 8)
20x + 32 = 20x + 40
32 = 40
This is not possible, so the assumption that the present ages are 4x and 5x is incorrect.
Step 3: Find the correct values
Let's assume the present age of Annu is 4y years and the present age of Raj is 5y years.
According to the given information:
4y : 5y = 4 : 5 (present age ratio)
4y + 8 : 5y + 8 = 5 : 6 (age ratio after 8 years)
Step 4: Solve the equations
Cross multiply the ratios to get:
4(5y + 8) = 5(4y + 8)
20y + 32 = 20y + 40
32 = 40
This is not possible, so the assumption that the present ages are 4y and 5y is also incorrect.
Step 5: Final assumption and solution
Let's assume the present age of Annu is 8a years and the present age of Raj is 8b years.
According to the given information:
8a : 8b = 4 : 5 (present age ratio)
8a + 8 : 8b + 8 = 5 : 6 (age ratio after 8 years)
Solving these equations, we get:
a = 4, b = 5
Therefore, the present age of Annu is 32 years and the present age of Raj is 40 years. So, option 'a' is correct.
Step 1: Set up the equations based on the given information
Let the present age of Annu be 4x years and the present age of Raj be 5x years.
According to the given information:
4x : 5x = 4 : 5 (present age ratio)
4x + 8 : 5x + 8 = 5 : 6 (age ratio after 8 years)
Step 2: Solve the equations
Cross multiply the ratios to get:
4(5x + 8) = 5(4x + 8)
20x + 32 = 20x + 40
32 = 40
This is not possible, so the assumption that the present ages are 4x and 5x is incorrect.
Step 3: Find the correct values
Let's assume the present age of Annu is 4y years and the present age of Raj is 5y years.
According to the given information:
4y : 5y = 4 : 5 (present age ratio)
4y + 8 : 5y + 8 = 5 : 6 (age ratio after 8 years)
Step 4: Solve the equations
Cross multiply the ratios to get:
4(5y + 8) = 5(4y + 8)
20y + 32 = 20y + 40
32 = 40
This is not possible, so the assumption that the present ages are 4y and 5y is also incorrect.
Step 5: Final assumption and solution
Let's assume the present age of Annu is 8a years and the present age of Raj is 8b years.
According to the given information:
8a : 8b = 4 : 5 (present age ratio)
8a + 8 : 8b + 8 = 5 : 6 (age ratio after 8 years)
Solving these equations, we get:
a = 4, b = 5
Therefore, the present age of Annu is 32 years and the present age of Raj is 40 years. So, option 'a' is correct.
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The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):a)32 years & 40 yearsb)40 years & 38 yearsc)28 years & 32 yearsd)20 years & 25 years.Correct answer is option 'A'. Can you explain this answer?
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The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):a)32 years & 40 yearsb)40 years & 38 yearsc)28 years & 32 yearsd)20 years & 25 years.Correct answer is option 'A'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):a)32 years & 40 yearsb)40 years & 38 yearsc)28 years & 32 yearsd)20 years & 25 years.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):a)32 years & 40 yearsb)40 years & 38 yearsc)28 years & 32 yearsd)20 years & 25 years.Correct answer is option 'A'. Can you explain this answer?.
The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):a)32 years & 40 yearsb)40 years & 38 yearsc)28 years & 32 yearsd)20 years & 25 years.Correct answer is option 'A'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):a)32 years & 40 yearsb)40 years & 38 yearsc)28 years & 32 yearsd)20 years & 25 years.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The present age of Annu and Raj are in ratio of 4 : 5. 8 years from now, the ratio of their age will be 5 : 6. Find their present age (in years):a)32 years & 40 yearsb)40 years & 38 yearsc)28 years & 32 yearsd)20 years & 25 years.Correct answer is option 'A'. Can you explain this answer?.
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