Two numbers differ by 168. If te greater one is 350. The smaller one is

Options

A. 400
B. 700
C. 182
D. 180

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the problem
We know that two numbers differ by 168, and the greater number is given as 350. We need to find the smaller number.

### Step 2: Define the variables
Let:
- \( x \) = greater number
- \( y \) = smaller number

From the problem, we know:
- \( x = 350 \)

### Step 3: Set up the equation based on the difference
According to the problem, the difference between the two numbers is 168. Therefore, we can write the equation:
\[ x - y = 168 \]

### Step 4: Substitute the value of \( x \)
Now, substitute the value of \( x \) into the equation:
\[ 350 - y = 168 \]

### Step 5: Solve for \( y \)
To find \( y \), we can rearrange the equation:
\[ -y = 168 - 350 \]
\[ -y = -182 \]
Now, multiply both sides by -1 to solve for \( y \):
\[ y = 182 \]

### Step 6: Conclusion
The smaller number is \( 182 \).

### Summary of the solution:
The smaller number is \( 182 \).

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