The product of two numbers is 48. If one number equals "The number of wings of a bird plus 2 times the number of fingers on your hand divided by the number of wheels of a Tricycle". Then the other number is

Options

A. 9
B. 10
C. 12
D. 18

Answer

To solve the problem step by step, let's break down the information given in the question.

### Step 1: Understand the components of the expression for one number
The question states that one number (let's call it \( x \)) is defined as:
- The number of wings of a bird
- Plus 2 times the number of fingers on your hand
- Divided by the number of wheels of a tricycle.

### Step 2: Determine the values for each component
1. **Number of wings of a bird**: A typical bird has 2 wings.
2. **Number of fingers on your hand**: A human hand has 5 fingers.
3. **Number of wheels of a tricycle**: A tricycle has 3 wheels.

### Step 3: Substitute the values into the expression for \( x \)
Now we can substitute these values into the expression for \( x \):
\[ x = \text{(Number of wings of a bird)} + 2 \times \text{(Number of fingers on your hand)} \div \text{(Number of wheels of a tricycle)} \]
\[ x = 2 + \frac{2 \times 5}{3} \]

### Step 4: Calculate the value of \( x \)
First, calculate \( 2 \times 5 = 10 \).
Now substitute this back into the equation:
\[ x = 2 + \frac{10}{3} \]
To add these, convert 2 into a fraction:
\[ x = \frac{6}{3} + \frac{10}{3} = \frac{16}{3} \]

### Step 5: Use the product of the two numbers
We know that the product of the two numbers is 48. Let the other number be \( y \).
Thus, we have:
\[ x \cdot y = 48 \]
Substituting \( x \):
\[ \frac{16}{3} \cdot y = 48 \]

### Step 6: Solve for \( y \)
To find \( y \), multiply both sides by the reciprocal of \( \frac{16}{3} \):
\[ y = 48 \cdot \frac{3}{16} \]
Calculating this gives:
\[ y = \frac{144}{16} = 9 \]

### Conclusion
The other number is \( 9 \).

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