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Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?
Correct answer is '64'. Can you explain this answer?
Most Upvoted Answer
Lucia is a wonderful grandmother. Her age is between 50 and 70. Each o...
Suppose Lucia has ' n ' number of sons.
each son has n-1 brothers.
so each son has n-1 sons according to the question.
so total no of grandsons=n(n-1)
combined number means n(n-1)+n
=n^2
so according to problem
50 < />< />
perfect Square between 50 and 70 is 64 only
each son has n-1 brothers.
so each son has n-1 sons according to the question.
so total no of grandsons=n(n-1)
combined number means n(n-1)+n
=n^2
so according to problem
50 < />< />
perfect Square between 50 and 70 is 64 only
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Lucia is a wonderful grandmother. Her age is between 50 and 70. Each o...
Problem: Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?
Solution:
Understanding the problem: Before moving towards finding the age of Lucia, we need to understand the problem statement. The problem states that:
- Lucia is a grandmother.
- Her age is between 50 and 70.
- Her sons have as many sons as they have brothers.
- The combined number of her grandsons gives Lucias age.
Breaking down the problem: We can break down the problem into smaller parts to make it easier to solve.
Part 1: Lucia's age is between 50 and 70.
Since Lucia's age is between 50 and 70, we can assume that her age lies somewhere in between these two numbers.
Part 2: Each of Lucia's sons have as many sons as they have brothers.
Let's assume that Lucia has two sons - A and B. According to the problem statement, each of her sons have as many sons as they have brothers. This means that:
- Son A has 1 brother (Son B) and so he has 1 son.
- Son B has 1 brother (Son A) and so he has 1 son.
Therefore, Lucia has two grandsons.
Part 3: The combined number of Lucia's grandsons gives her age.
According to the problem statement, the combined number of Lucia's grandsons gives her age. We have already established that Lucia has two grandsons. Therefore, her age is:
2 x 32 = 64
Final answer: Lucia's age is 64.
Solution:
Understanding the problem: Before moving towards finding the age of Lucia, we need to understand the problem statement. The problem states that:
- Lucia is a grandmother.
- Her age is between 50 and 70.
- Her sons have as many sons as they have brothers.
- The combined number of her grandsons gives Lucias age.
Breaking down the problem: We can break down the problem into smaller parts to make it easier to solve.
Part 1: Lucia's age is between 50 and 70.
Since Lucia's age is between 50 and 70, we can assume that her age lies somewhere in between these two numbers.
Part 2: Each of Lucia's sons have as many sons as they have brothers.
Let's assume that Lucia has two sons - A and B. According to the problem statement, each of her sons have as many sons as they have brothers. This means that:
- Son A has 1 brother (Son B) and so he has 1 son.
- Son B has 1 brother (Son A) and so he has 1 son.
Therefore, Lucia has two grandsons.
Part 3: The combined number of Lucia's grandsons gives her age.
According to the problem statement, the combined number of Lucia's grandsons gives her age. We have already established that Lucia has two grandsons. Therefore, her age is:
2 x 32 = 64
Final answer: Lucia's age is 64.
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Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?Correct answer is '64'. Can you explain this answer?
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Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?Correct answer is '64'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?Correct answer is '64'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?Correct answer is '64'. Can you explain this answer?.
Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?Correct answer is '64'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?Correct answer is '64'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Lucia is a wonderful grandmother. Her age is between 50 and 70. Each of her sons have as many sons as they have brothers. Their combined number gives Lucias age. What is the age?Correct answer is '64'. Can you explain this answer?.
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