Question

at present mani age is 6 years less than kamesh raguls age.two years ago,the ratio of kamesh age to mani age is 3:2 find the present age​

Answer 1

Answer:

Let the present age of Prerna =x years

According to the given condition

Age of her Kailash =(6x−2) years

After 5 years

Age of Prerna=(x+5) years

Age of Kailash =[(6x−2)+5]=(6x+3) years

Product of their ages after 5 years is 330

(x+5)(6x+3)=330

∴ 6x

2

+33x+15=330

∴ 6x

2

+33x−315=0

∴ 2x

2

+11x−105=0

∴ 2x

2

+21x−10x−105=0

∴ (2x+21)(x−5)=0

∴ x=−

2

21

OR x=5

∴ x=5 (age cannot be negative)

Thus, present age of Prerna =5 years

Present age of Kailash =x−2=28 years

Then, Age of Kailash when Prerna was born will be 5 years less than his present age =23 years