Question

5. Eight years hence, the ratio of the ages of Saurav
and his son will be 25:12. Six years ago, the ratio
of the ages of Saurav and his son was 18: 5. What
is the present age of Saurav's son?​

Answer 1

Answer:16 Years

Step-by-step explanation:

Let the son's age be y and father's age be x

8 years later

x+8/y+8 = 25/12

12x+96=25y+200

12x-25y =200-96

12x-25y = 104 (1st equation)

6 years ago

x-6/y-6 = 18/5

5x-30=18y-108

5x-18y= -108+30

5x-18y = -78

Or

-5x+18y =78 (2nd equation)

Multiply Second equation by 2.40 to make x equal in both equation

12x-25y=104

-12x+43.20 y =187.20

Cancel x

And 18.20 y = 291.20

So y = 291.20/18.20 = 16 is the age of Son