the present age of Ramana's father twice that of Ramana's. after 6 years, the sum of their age would be 87 years. find they present age?

Ramana's age is 25 years

Ramana's father age is 50 years

Step-by-step explanation:

Let Ramana's age be y

Therefore Ramana's father age will be 2y

After six years, their ages are:

Ramana's age = y + 6

Ramana's father age = 2y + 6

But after six years, the sum of their ages will be 87 i. e

(y + 6) + (2y + 6) = 87

y + 6 + 2y + 6 = 87

3y + 12 = 87

Collect like terms

3y = 87 - 12

3y = 75

Divide both side by 75

y = 75 / 3 = 25

Therefore Ramana's age is 25years

Ramana's father age = 2y = 2 x 25 = 50 years.