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Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?
- a)15 years
- b)13 years
- c)19 years
- d)17 years
- e)16 years
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldes...
Square numbers – x, y, z
(x + 5) + (y + 5)+ (z + 5) = 44
x + y + z = 44 – 15 = 29
Possible values of x, y, z = 4, 9, 16 [Out of 1, 4, 9, 16, 25] Ram’s present age = 16; after three years = 19
(x + 5) + (y + 5)+ (z + 5) = 44
x + y + z = 44 – 15 = 29
Possible values of x, y, z = 4, 9, 16 [Out of 1, 4, 9, 16, 25] Ram’s present age = 16; after three years = 19
Most Upvoted Answer
Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldes...
Problem Analysis:
We are given that Ram is the eldest son of Mr. Sharma and Karan is the youngest. Also, the present ages of all three of them are square numbers. We need to find the age of Ram after three years.
Given:
Ram, Amit and Karan are the three sons of Mr. Sharma.
Ram is the eldest son of Mr. Sharma.
Karan is the youngest son of Mr. Sharma.
The present ages of all three of them are square numbers.
The sum of their ages after 5 years is 44.
To Find:
The age of Ram after three years.
Solution:
Let’s assume that the present age of Ram is x^2, Amit is y^2, and Karan is z^2.
From the given conditions, we know that:
x > y > z
x, y, and z are square numbers.
After 5 years, their ages would be (x^2+5), (y^2+5), and (z^2+5).
According to the problem, the sum of their ages after 5 years is 44.
(x^2+5) + (y^2+5) + (z^2+5) = 44
x^2 + y^2 + z^2 = 24
As x, y, and z are square numbers, we can try to find the squares that add up to 24. We can use trial and error method for this.
We get the following values of x, y, and z:
x = 4, y = 2, z = 2
x^2 = 16, y^2 = 4, z^2 = 4
Therefore, Ram’s present age is 16 years.
The age of Ram after three years would be:
Ram’s age after three years = 16+3 = 19 years.
Therefore, option (c) is the correct answer.
Final Answer:
The age of Ram after three years is 19 years.
We are given that Ram is the eldest son of Mr. Sharma and Karan is the youngest. Also, the present ages of all three of them are square numbers. We need to find the age of Ram after three years.
Given:
Ram, Amit and Karan are the three sons of Mr. Sharma.
Ram is the eldest son of Mr. Sharma.
Karan is the youngest son of Mr. Sharma.
The present ages of all three of them are square numbers.
The sum of their ages after 5 years is 44.
To Find:
The age of Ram after three years.
Solution:
Let’s assume that the present age of Ram is x^2, Amit is y^2, and Karan is z^2.
From the given conditions, we know that:
x > y > z
x, y, and z are square numbers.
After 5 years, their ages would be (x^2+5), (y^2+5), and (z^2+5).
According to the problem, the sum of their ages after 5 years is 44.
(x^2+5) + (y^2+5) + (z^2+5) = 44
x^2 + y^2 + z^2 = 24
As x, y, and z are square numbers, we can try to find the squares that add up to 24. We can use trial and error method for this.
We get the following values of x, y, and z:
x = 4, y = 2, z = 2
x^2 = 16, y^2 = 4, z^2 = 4
Therefore, Ram’s present age is 16 years.
The age of Ram after three years would be:
Ram’s age after three years = 16+3 = 19 years.
Therefore, option (c) is the correct answer.
Final Answer:
The age of Ram after three years is 19 years.
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Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?a)15 yearsb)13 yearsc)19 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer?
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Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?a)15 yearsb)13 yearsc)19 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?a)15 yearsb)13 yearsc)19 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?a)15 yearsb)13 yearsc)19 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer?.
Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?a)15 yearsb)13 yearsc)19 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?a)15 yearsb)13 yearsc)19 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?a)15 yearsb)13 yearsc)19 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Mr. Sharma has three sons namely Ram, Amit and Karan. Ram is the eldest son of Mr. Sharma while Karan is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ram after three years?a)15 yearsb)13 yearsc)19 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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