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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 the present age?
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The ages of Ram and Shyam are in the ratio of 4:5 4 years from now sum...
Understanding the Problem
To find the present ages of Ram and Shyam, we start with the information given:
- The ratio of their ages is 4:5.
- The sum of their ages in 4 years will be 80 years.
Let's denote:
- Ram's present age = 4x
- Shyam's present age = 5x
Setting Up the Equation
In 4 years, Ram's age will be (4x + 4) and Shyam's age will be (5x + 4). The sum of their ages in 4 years can be expressed as:
(4x + 4) + (5x + 4) = 80
Combining like terms, we get:
9x + 8 = 80
Solving for x
Now, we will isolate x:
1. Subtract 8 from both sides:
- 9x = 72
2. Divide by 9:
- x = 8
Calculating Present Ages
Now that we have x, we can find the present ages of Ram and Shyam:
- Ram's present age = 4x = 4 * 8 = 32 years
- Shyam's present age = 5x = 5 * 8 = 40 years
Conclusion
Thus, the present ages of Ram and Shyam are:
- Ram: 32 years
- Shyam: 40 years
This solution effectively demonstrates the steps to find their current ages based on the given ratio and future sum condition.
To find the present ages of Ram and Shyam, we start with the information given:
- The ratio of their ages is 4:5.
- The sum of their ages in 4 years will be 80 years.
Let's denote:
- Ram's present age = 4x
- Shyam's present age = 5x
Setting Up the Equation
In 4 years, Ram's age will be (4x + 4) and Shyam's age will be (5x + 4). The sum of their ages in 4 years can be expressed as:
(4x + 4) + (5x + 4) = 80
Combining like terms, we get:
9x + 8 = 80
Solving for x
Now, we will isolate x:
1. Subtract 8 from both sides:
- 9x = 72
2. Divide by 9:
- x = 8
Calculating Present Ages
Now that we have x, we can find the present ages of Ram and Shyam:
- Ram's present age = 4x = 4 * 8 = 32 years
- Shyam's present age = 5x = 5 * 8 = 40 years
Conclusion
Thus, the present ages of Ram and Shyam are:
- Ram: 32 years
- Shyam: 40 years
This solution effectively demonstrates the steps to find their current ages based on the given ratio and future sum condition.
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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 the present age?
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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 the present age? 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 the present age? 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 the present age?.
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 the present age? 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 the present age? 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 the present age?.
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