The ages of Hari and Harry are in the ratio 5:7. Four years from now, the ratio of their ages will be 3:4. Find their present ages.
Given:
The ages of Hari and Harry are in the ratio 5:7
Let the common ratio between their ages be x.
⇒ Hari’s age =5x years
Harry’s =7x years.
After four years,
Hari’s age =5x+4 years
Harry’s =7x+4 years
It is given that, four years later, their ages in the ratio 3:4.
⇒5x+47x+4=34
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒16−12=21x−20x
⇒4=x
Now,
Hari’s age =5x=5×4=20 years
Harry’s =7x=7×4=28 years.
Therefore, Hari’s age and Harry’s age are 20 years and 28 years, respectively.