# Nishu and Vijay are in the ratio 6: 5. After 9 years :

Presently, ages of Nishu and Vijay are in the ratio 6: 5. After 9 years, this ratio will be 9: 8. What is the difference in their ages presently?

(a) 3 years

(b) 5 years

(c) 7 years

(d) 9 years

**Answer: (a) 3 years**

**Solution:-**

Preesntly, ages of Nishu and Vijay are in the ratio 6: 5.

Let the age of Nishu and Vijaya be 6 X and 5 X.

After 9 years, this years, this ratio will be 9: 8.

Then, (6 X + 9)/(5 X + 9) = 9/8

By cross multiplication,

8 (6 X + 9) = 9 (5 X + 9)

48 X + 72 = 45 X + 81

48 X – 45 X = 81 – 72

3 X = 9

X = 9/3

X = 3

Then, persent ages of Nishu and Vijay = 6 x 3 = 18 years & 5 x 3 = 15 years

So, the difference between in their ages presently = 18 – 15

= 3 years.

Hence, the correct answer is option (a) 3 years.