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 the present ages​

Answer 1

The ratio of Hari's and Harry's present ages is 5:7 

So, let their ages be 

5x

 and 

7x

After 4 years their ages will be in ratio 3:4

Therefore,

(5x+

4)/(7x+

4)=

3/4

or,

4(5x+

4)=

3(7x+

4)

or,

20x+

16=

21x+

12

or,

16−

12=

21x−

20x

or,

4=

1x

or,

x=

4

Therefore, present age of Hari =

5x=

(5×

4)=

20

years.

Present age of Harry

=

7x=

(7×

4)=

28

years

The sum of their age is

28+

20=

48years