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The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now sum of their ages will be 80 years find their percentage?
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The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now su...
Understanding the Problem
To find the ages of Ram and Shyam based on the given conditions, we start by defining their ages in terms of a variable.
Step 1: Define Variables
- Let Ram's age be 4x.
- Let Shyam's age be 5x.
Step 2: Establish the Equation
In 4 years, their ages will be:
- Ram: 4x + 4
- Shyam: 5x + 4
According to the problem, the sum of their ages in 4 years will be 80 years.
Step 3: Set Up the Equation
The equation can be set up as follows:
(4x + 4) + (5x + 4) = 80
This simplifies to:
9x + 8 = 80
Step 4: Solve for x
Now, subtract 8 from both sides:
9x = 72
Then, divide by 9:
x = 8
Step 5: Calculate Ages
Now that we have x, we can find their current ages:
- Ram's age = 4x = 4(8) = 32 years
- Shyam's age = 5x = 5(8) = 40 years
Step 6: Find Percentage of Their Ages
To find the percentage of their ages:
- Ram's percentage = (Ram's age / Total age) * 100
- Total age = Ram's age + Shyam's age = 32 + 40 = 72
Calculating Ram's percentage:
- Ram's percentage = (32 / 72) * 100 ≈ 44.44%
Calculating Shyam's percentage:
- Shyam's percentage = (40 / 72) * 100 ≈ 55.56%
Conclusion
- Ram's age percentage: 44.44%
- Shyam's age percentage: 55.56%
Now you have a clear understanding of their ages and their respective percentages!
To find the ages of Ram and Shyam based on the given conditions, we start by defining their ages in terms of a variable.
Step 1: Define Variables
- Let Ram's age be 4x.
- Let Shyam's age be 5x.
Step 2: Establish the Equation
In 4 years, their ages will be:
- Ram: 4x + 4
- Shyam: 5x + 4
According to the problem, the sum of their ages in 4 years will be 80 years.
Step 3: Set Up the Equation
The equation can be set up as follows:
(4x + 4) + (5x + 4) = 80
This simplifies to:
9x + 8 = 80
Step 4: Solve for x
Now, subtract 8 from both sides:
9x = 72
Then, divide by 9:
x = 8
Step 5: Calculate Ages
Now that we have x, we can find their current ages:
- Ram's age = 4x = 4(8) = 32 years
- Shyam's age = 5x = 5(8) = 40 years
Step 6: Find Percentage of Their Ages
To find the percentage of their ages:
- Ram's percentage = (Ram's age / Total age) * 100
- Total age = Ram's age + Shyam's age = 32 + 40 = 72
Calculating Ram's percentage:
- Ram's percentage = (32 / 72) * 100 ≈ 44.44%
Calculating Shyam's percentage:
- Shyam's percentage = (40 / 72) * 100 ≈ 55.56%
Conclusion
- Ram's age percentage: 44.44%
- Shyam's age percentage: 55.56%
Now you have a clear understanding of their ages and their respective percentages!
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The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now sum of their ages will be 80 years find their percentage?
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The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now sum of their ages will be 80 years find their percentage? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now sum of their ages will be 80 years find their percentage? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now sum of their ages will be 80 years find their percentage?.
The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now sum of their ages will be 80 years find their percentage? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now sum of their ages will be 80 years find their percentage? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ages of Ram and Shyam are in the ratio of 4:5. 4 years from now sum of their ages will be 80 years find their percentage?.
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