Explanation:

Let’s break it down step by step:

- Start with Ayush’s present age = x.

- His son’s present age: 25% of (Ayush’s age minus 6) ? (x - 6) × 0.25.

- Daughter’s age 4 years ago = (daughter’s present age - 4) = (son’s age then + 7) ? d - 4 = (son’s present age - 4) + 7.

- Daughter+wife = Ayush + 10.

- Family: Ayush, son, daughter, wife. Average is 30.25, so sum = 30.25 × 4 = 121.

Now, set up equations:

1. Son = 0.25(x - 6)

2. Daughter’s age = son’s age + 11 (from the previous equation)

3. Daughter + wife = x + 10, so wife = x + 10 -daughter.

Express all in terms of x:

- Son: 0.25x - 1.5

- Daughter: (0.25x - 1.5) + 11 = 0.25x + 9.5

- Wife: x + 10 - (0.25x + 9.5) = 0.75x + 0.5

Add everyone:

x + (0.25x - 1.5) + (0.25x + 9.5) + (0.75x + 0.5) = 121

x + 0.25x + 0.25x + 0.75x = 2.25x

-1.5 + 9.5 + 0.5 = 8.5

So:

2.25x + 8.5 = 121

2.25x = 112.5

x = 50

So, the answer is option:2 - 50 years.

- Ayush is 50.

- His son is 0.25 × 44 = 11.

- Daughter: 11 + 11 = 22.

- Wife: 50 + 10 - 22 = 38.

- 50 + 11 + 22 + 38 = 121; 121 ÷ 4 = 30.25.

All statements check out. Option 2 is absolutely right.