`a:b:c=2:3:5`
Find `(a+b+C)=?`

Options

A. 5k
B. 10k
C. 11k
D. 12k

Answer

To solve the problem where the ratio \( a:b:c = 2:3:5 \) and we need to find \( a + b + c \), we can follow these steps:

### Step 1: Understand the Ratio
The ratio \( a:b:c = 2:3:5 \) means that for every 2 parts of \( a \), there are 3 parts of \( b \) and 5 parts of \( c \).

### Step 2: Assign Variables
Let’s assign a common variable \( k \) to represent the ratio parts. Therefore, we can express \( a \), \( b \), and \( c \) in terms of \( k \):
- \( a = 2k \)
- \( b = 3k \)
- \( c = 5k \)

### Step 3: Calculate \( a + b + c \)
Now, we can find \( a + b + c \) by substituting the expressions we found:
\[ a + b + c = 2k + 3k + 5k \]

### Step 4: Combine Like Terms
Combine the terms:
\[ a + b + c = (2 + 3 + 5)k = 10k \]

### Final Answer
Thus, \( a + b + c = 10k \).