# Ramesh says to his son Girish, "My age was two years more than 7 times of your's age before 30 and 1/2 a year...

96 views

Ramesh says to his son Girish, "My age was two years more than 7 times of your's age before 30 and 1/2 a year and after 2 and 1/2 a year, my age will be twice of yours age of 1/2 a year before". What will be the age of Girish after 12 and 1/2 a year.

posted Feb 3, 2016

Let's present age of Girish is x years
and present age of Ramesh is y years.
30.5 years ago,
7(x-30.5)+2=y-30.5................(i)
After 2.5 years,
(y+2.5)=2(x-0.5).....................(ii)
simplify (ii), we get
y=2x-3.5.................................(iii)
Now put value of Y from (iii) in to (i)
7(x-30.5)+2=(2x-3.5)-30.5
7x-213.5+2=2x-34
5x=177.5
x=35.5
present age of girish is 35 & 1/2 years
35.5+12.5=48 years
after 12.5 years girish age will be 48 years

Similar Puzzles

The sum of the present ages of a father and his son is 60 years. Six year ago, father's age was five times the age of the son. After 6 years, what will be son's age?

Father is aged three times more than his son Ronit. After 8 years, he would be two and a half times of Ronit's age. After further 8 years, how many times would he be of Ronit's age?

+1 vote

Sum of the ages of a boy and his father is 49 years. Before 11 years Father's age was 8 times the age of the boy. What was the age of father (in years) at the time of birth of the child?

–1 vote

Sum of the ages of a boy and his father is 77 years. Before 22 years Father's age was 10 times the age of the boy. What was the age of father at the time of birth of the child?