Question

if the age of father is twice of his son and 16 years ago father age is six times of his son find the present age of father and son​

Answer 1

Let the present age of father's be x years and

present age of son's be y years.

According to the problem

X = 6y

After 4 years

x+4 = 4(y + 4)

Hence we get two equations

⟶X = 6y ________________________ (1)

⟶X +4 = 4(y + 4) ___________________ (2)

Simplifying eq (2)

⟶x + 4 = 4y + 16

⟶x - 4y = 12

Put x 6y in eq (2), we get

⟶6y - 4y = 12

⟶2y = 12

⟶y = 6 years

and x = 6y = 36 years

Present age of son = 6 years

and present age of father = 36 years