Varun scores 50 more runs than 5 times the runs scored by Karan. Form an equation which gives the runs scored by Karan. If Varun scored 120 runs.

Options

A. `50x+5=120`
B. `50+5x=120`
C. `50x+120=5`
D. `120+5x=50`

Answer

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

### Step 1: Define the variable
Let the runs scored by Karan be represented by the variable \( x \).

**Hint:** When dealing with word problems, it's helpful to define a variable for the unknown quantity.

### Step 2: Express Varun's runs in terms of Karan's runs
According to the problem, Varun scores 50 more runs than 5 times the runs scored by Karan. Therefore, we can express Varun's runs as:
\[ \text{Varun's runs} = 5x + 50 \]

**Hint:** Break down the information given in the question to form an expression.

### Step 3: Set up the equation
We know from the problem that Varun scored 120 runs. Therefore, we can set up the equation:
\[ 5x + 50 = 120 \]

**Hint:** Use the information provided to create an equation that relates the variables.

### Step 4: Solve the equation for \( x \)
Now, we will solve the equation for \( x \):
1. Subtract 50 from both sides:
\[ 5x + 50 - 50 = 120 - 50 \]
\[ 5x = 70 \]

2. Divide both sides by 5:
\[ x = \frac{70}{5} \]
\[ x = 14 \]

**Hint:** Perform operations step by step to isolate the variable.

### Conclusion
The runs scored by Karan is \( x = 14 \).

### Final Answer
Karan scored 14 runs.

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