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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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.