Question

The ages of Hari and Harry are in the ratio of 5:7. Four years from now the ratio of their ages will be 3:4.Find their present ages..

Answer 1

age of Hari =5x
age of Harry =7x
given that
(5x+4)/(7x+4)=3/4
=> 20x+16=21x+12
=> x= 4years

5x=20
7x=28

Answer 2

Let the common ratio between their ages be x. Therefore, Hari’s age and Harry’s age will be 5xyears and 7x years respectively and four years later, their ages will be (5x + 4) years and (7x + 4) years respectively.

According to the situation given in the question,

$\frac{5x + 4}{7x + 4} = \frac{3}{4} \\ 4(5x + 4) = 3(7x + 4) \\ 20x + 16 = 21x + 12 \\ 16 - 12 = 21x - 20x \\ 4 = x$


Hari’s age = 5x years = (5 × 4) years = 20 years

Harry’s age = 7x years = (7 × 4) years = 28 years

Therefore, Hari’s age and Harry’s age are 20 years and 28 years respectively.