The number of subsets of set A is twice the number of sub sets of B. Set B is larger than set C. Number of subsets of C is 15 more than number of subsets of C . Then find the number of subsets of A?

Question

The number of subsets of set A is twice the number of sub sets of B. Set B is larger than set C. Number of subsets of C is 15 more than number of subsets of C . Then find the number of subsets of A?

1 Answers

Answer Question

Answer 1

Let's represent the number of subsets as x.

"The number of subsets of set A is twice the number of sub sets of B."

x(A) = 2x(B)

"Set B is larger than set C."

So we know that x(B) > x(C). And I believe you mis-typed the last part of the equation where you said "Number of subsets of C is 15 more than number of subsets of C." The first C would have to be a B for this question to make sense. But nonetheless, this statement tells us that:

x(B) = x(C) + 15

And we are asked to find x(A).

x(A) = 2x(B) = 2[x(C) + 15] = 2x(C) + 30

This is the closest one can get to the answer with the given information because there needs to be a value for x(C), or at least a way to figure it out.