There are only apples and oranges in the basket. What is the total number of pie

ID: 2257634 • Letter: T

Question

There are only apples and oranges in the basket. What is the total number of pieces of fruit in the basket?

Statement 1: The ratio between the number of apples and oranges is 3.

Statement 2: There are 12 more apples than oranges in the basket.

Which of the statements above make it possible to answer the question?

Statement 1 alone is sufficient, but Statement 2 alone is not sufficient

Statement 2 alone is sufficient, but Statement 1 alone is not sufficient

Each statement alone is sufficient

Both statements together are sufficient, but neither statement alone is sufficient

Statements 1 and 2 together are not sufficient

Let

Number of apples = x

Number of oranges = y

To find N = X + y

Statement 1:

x/y = 3 (1)

Statement 2:

x - y = 12 (2)

From (1), x = 3y

Substituting in (2), we get:

3y - y = 12

So,

y = 6

Substituting in (1), we get:

x/6 = 3

So,

x = 18

So,

N = x + y = 6 + 18 = 24

So, Correct option is:

Both statements together are sufficient, but neither statement alone is sufficient.

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