# Find the present ages of Swetha & Santoshi (in years)?

The ratio of the ages of Swetha and Santoshi is 9:4, If after 10 years, Santoshi’s age would be the same as the present age of Swetha. Find the present ages of Swetha & Santoshi (in years)?

- 9 years, 4 years
- 36 years, 26 years
- 27 years, 17 years
- 18 years, 8 years

**Answer: (4) 18 years, 4 years**

**Explanation:-**

The ratio of the ages of Swetha and Santoshi = 9 : 4

Let the age of Swetha = 9 X & age of Santoshi = 4 X.

According to the question,

(4 X + 10) = 9 X

9 X – 4 X = 10

5 X = 10

X = 10/5

X = 2

The present age of Swetha = 9 X = 9 x 2 = 18 years.

The present age of Santoshi = 4 X = 4 x 2 = 8 years.

Hence, the answer is (4) 18 years, 8 years.