Average age of Akshita, Sonakshi and Abhishek is 32 after 4 year. Ratio of present age of Askhita and Abhishek is 3 : 4. If sum of present age of Akshita and sonakshi is 52. Then find the difference between age of Sonakshi and Abhishek.

Options

A. A)6
B. B)8
C. C)3
D. D)4

Answer

To solve the problem step by step, let's break down the information given and find the required ages.

### Step 1: Calculate the sum of the present ages of Akshita, Sonakshi, and Abhishek.
The average age of Akshita, Sonakshi, and Abhishek after 4 years is given as 32 years.

Using the formula for average:
\[ \text{Average} = \frac{\text{Sum of ages}}{\text{Number of people}} \]
We can rearrange this to find the sum of their ages:
\[ \text{Sum of ages} = \text{Average} \times \text{Number of people} \]
After 4 years, the sum of their ages will be:
\[ \text{Sum of ages} = 32 \times 3 = 96 \text{ years} \]
Since this sum is after 4 years, we need to subtract the 12 years (4 years for each of the 3 people) to find their current sum:
\[ \text{Current sum of ages} = 96 - 12 = 84 \text{ years} \]