By how much is three-fourth of 144 greater than two-third of 96?

Options

A. 20
B. 44
C. 30
D. 84

Answer

To solve the problem of finding out by how much three-fourths of 144 is greater than two-thirds of 96, we will break it down into clear steps.

### Step-by-Step Solution:

1. **Calculate three-fourths of 144**:
\[ \text{Three-fourths of } 144 = \frac{3}{4} \times 144 \]
To calculate this, we can first divide 144 by 4:
\[ 144 \div 4 = 36 \]
Now, multiply by 3:
\[ 36 \times 3 = 108 \]
So, three-fourths of 144 is **108**.

2. **Calculate two-thirds of 96**:
\[ \text{Two-thirds of } 96 = \frac{2}{3} \times 96 \]
First, divide 96 by 3:
\[ 96 \div 3 = 32 \]
Now, multiply by 2:
\[ 32 \times 2 = 64 \]
So, two-thirds of 96 is **64**.

3. **Find the difference between the two results**:
We need to find out how much greater 108 is than 64:
\[ 108 - 64 = 44 \]

Thus, three-fourths of 144 is greater than two-thirds of 96 by **44**.

### Final Answer:
**44**