Question

The ratio of the ages of father and son at present is 6: 1. After 5 years the ratio will become 7:2. Find the present age of the son?​

Answer 1

YOUR ANSWER AND SOLUTION IS HERE》

Let the present age of father and son be F and S. Therefore,

F/S = 6/1

F = 6S ….(15)

and after 5 years

= (F+ 5)/(S+5) = 7/2

= 2F + 10 = 7S + 35

= 2(6S) + 10 = 7S + 35 [From (1)]

= 12S + 10 = 7S + 35

= 5S = 25

= S = 5 years

SO UR CORRECT ANS IS FIVE YEARS

Answer 2

Answer:

Description for Correct answer:

Let the present age of the father be 6x yrs

Let the present age of the son be x years

After 5 years the age of the father will be (6x+5) yrs

After 5 years the age of the son will be (x+5) yrs

∴ (6x+5) ; (x+5) = 7:2

2 (6x+5) = 7 (x+5)

12x+10 = 7x+35

∴ 5x = 25

x = 5

∴The present age of the son = 5 yrs