# The multiplication of the age of Rajiv, before 5 years and after 9 years, is 15 :

The multiplication of the age of Rajiv, before 5 years and after 9 years, is 15. What is the present age of Rajiv ?

(a) 6

(b) 7

(c) 5

(d) 8

**Answer: (a) 6**

**Solution:-**

Let the present age of Rajiv be X years

The multiplication of the age of Rajiv, before 5 years and after 9 years.

Then, (X – 5) (X + 9) = 15

X^{2} + 9 X – 5X – 45 = 15

X^{2} + 4 X – 45 – 15 =0

X^{2} + 4 X – 60 = 0

X^{2} + 10 X – 6 X – 60 = 0

X (X + 10 ) – 6 (X + 10) = 0

(X – 6) (X + 10) = 0

X – 6 = 0

X = 6

Then, the present age of Rajiv is 6 years.

Hence, the correct answer is option (a) 6 years.