If 4:5::X:35, then the value of x is

Options

A. 42
B. 32
C. 28
D. none of these

Answer

To solve the problem where \( 4:5::X:35 \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Proportion**:
The statement \( 4:5::X:35 \) means that the ratio of 4 to 5 is equal to the ratio of X to 35. This can be written in fractional form as:
\[ \frac{4}{5} = \frac{X}{35} \]

2. **Cross-Multiply**:
To solve for X, we will use cross multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction:
\[ 4 \times 35 = 5 \times X \]

3. **Calculate the Left Side**:
Now, calculate \( 4 \times 35 \):
\[ 4 \times 35 = 140 \]
So, we have:
\[ 140 = 5X \]

4. **Isolate X**:
To find X, we need to isolate it. We can do this by dividing both sides of the equation by 5:
\[ X = \frac{140}{5} \]

5. **Calculate X**:
Now, perform the division:
\[ X = 28 \]

### Final Answer:
The value of \( X \) is \( 28 \).

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