Correct Answer - Option 1 : 78 years

**Given:**

Ratio of ages NIlam and Anu is 4 ∶ 9

**Concept Used: **

Ratio concept is used.

**Calculation:**

Let the present age of Nilam and Anu be 4x and 9x.

Difference = 9x – 4x = 5x

According to question,

5x = 30

⇒ x = 6

So, Sum of their ages = 4x + 9x = 13x = 13 × 6 = 78 years

**∴ S****um of their ages is 78 years old.**