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A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?
  • a)
    Data inadequate
  • b)
    3 years
  • c)
    2 years
  • d)
    5 years
  • e)
    4 years
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A is as much younger than B and he is older than C. If the sum of the ...
Age of C < Age of A < Age of B
Given that sum of the ages of B and C is 50 years.
Now we need to find out (B's age - A's age). But this cannot be determined with the given data.
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Most Upvoted Answer
A is as much younger than B and he is older than C. If the sum of the ...
Given information:
- A is younger than B.
- A is older than C.
- B + C = 50.

To find: Difference between B and A's age.

Solution:
We cannot definitely determine the difference between B and A's age as we do not have any information about the age of A or C. We only know the relationship between their ages and the sum of B and C's age.

Hence, the answer is option 'A', data inadequate.

Explanation:
Let's assume the age of C as x. Then, the age of A will be x + y and the age of B will be x + y + z, where y and z are some positive integers.

From the given information, we can write the following equations:

- x + y + z = B
- x + y = A
- x = C
- B + C = 50

We can substitute the value of C in terms of x in the fourth equation to get:

B + x = 50

Substituting the values of A and B in terms of x, y, and z, we get:

x + y = A
x + y + z = B

Substituting the value of B from the fourth equation, we get:

x + y + z = 50 - x

Simplifying this equation, we get:

2x + y + z = 50

As we can see, we have two equations and three variables (x, y, and z). Therefore, we cannot definitely determine the value of the difference between B and A's age. Hence, the answer is option 'A', data inadequate.
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A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?a)Data inadequateb)3 yearsc)2 yearsd)5 yearse)4 yearsCorrect answer is option 'A'. Can you explain this answer?
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A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?a)Data inadequateb)3 yearsc)2 yearsd)5 yearse)4 yearsCorrect answer is option 'A'. 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 A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?a)Data inadequateb)3 yearsc)2 yearsd)5 yearse)4 yearsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A is as much younger than B and he is older than C. If the sum of the ages of B and C is 50 years, what is definitely the difference between B and A's age?a)Data inadequateb)3 yearsc)2 yearsd)5 yearse)4 yearsCorrect answer is option 'A'. Can you explain this answer?.
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