What value will come in place of question mark(?) in the question
`43/? xx 32/7 xx 63/24 = 4`

Options

A. 129
B. 130
C. 132
D. 135

Answer

To solve the equation \( \frac{43}{?} \times \frac{32}{7} \times \frac{63}{24} = 4 \), we can follow these steps:

### Step 1: Rewrite the equation
Let \( ? = x \). The equation can be rewritten as:
\[ \frac{43}{x} \times \frac{32}{7} \times \frac{63}{24} = 4 \]

### Step 2: Simplify the left side
First, we can simplify the multiplication of the fractions on the left side:
\[ \frac{43 \times 32 \times 63}{x \times 7 \times 24} = 4 \]

### Step 3: Multiply the constants
Now, calculate the product of the constants in the numerator:
\[ 43 \times 32 = 1376 \]
\[ 1376 \times 63 = 86688 \]
So, we have:
\[ \frac{86688}{x \times 7 \times 24} = 4 \]

### Step 4: Calculate \( 7 \times 24 \)
Now, calculate \( 7 \times 24 \):
\[ 7 \times 24 = 168 \]
So, we can rewrite the equation as:
\[ \frac{86688}{168x} = 4 \]

### Step 5: Cross-multiply
Cross-multiply to eliminate the fraction:
\[ 86688 = 4 \times 168x \]

### Step 6: Calculate \( 4 \times 168 \)
Now calculate \( 4 \times 168 \):
\[ 4 \times 168 = 672 \]
So, we have:
\[ 86688 = 672x \]

### Step 7: Solve for \( x \)
Now, divide both sides by 672 to solve for \( x \):
\[ x = \frac{86688}{672} \]

### Step 8: Calculate the value of \( x \)
Now, perform the division:
\[ x = 129 \]

Thus, the value that will come in place of the question mark (?) is \( 129 \).

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