Ramu's father is four times as old as Ramu.After 16 years,he will be just twice his son. find their present age.
@kishorebala: Good answer! Keep posting!
Let the present age of Ramu be x years.
Given, Present age of Ramu's father = 4 × Present age of Ramu
∴ Present age of Ramu's father = 4x
16 years hence,
Age of Ramu = x + 16
Age of Ramu's father = 4x + 16
Age of Ramu's father = 2 × Age of Ramu (Given)
∴ 4x + 16 = 2(x + 16)
⇒ 4x + 16 = 2x + 32
⇒ 4x – 2x = 32 – 16 (Transposing 2x to LHS and 16 to RHS)
⇒ 2x = 16
∴ Present age of Ramu = 8 years
Present age of Ramu's father = 4x = 4 × 8 years = 32 years
Let the present age of son be x years after 16 years his age will be x+16 years
After 16 years
After 16 years his fathers’ age will be= 2x+32
Father’s present age will be =2x+32-16=2x+16
Father’s present age is 4x=4*8=32
Therefore the present of son is 8 years and the present age of father is 32 years