Question

Ram was four times as old as his son 8 year ago . after 8 years ram will be twice as old as his son . what ram's present age ?​

Answer 1

Answer:

Ram's present age = 40 yrs.

Step-by-step explanation:

Let the present ages of Ram and his son be y and x yrs respectively.

Now, it's given that,

Ram was four times as old as his son 8 yrs. ago

8 yrs. ago.

Son's age = (x-8) yrs.

Ram's age = (y-8) yrs.

=> y - 8 = 4(x-8)

=> y - 8 = 4x - 32

=> 4x - y = 24 ..........(1)

Also, it's given that,

Ram will be twice the age of his son After 8 yrs.

After 8 yrs.

Son's age = (x+8) yrs.

Ram's age = (y+8) yrs.

=> y+8 = 2(x+8)

=> y + 8 = 2x + 16

=> 2x - y = -8 ...........(2)

Subtracting eqn (2) from (1), we get

=> 2x = 32

=> x = 16

Substituting this value in (1), we get,

=> 4(16) - y = 24

=> y = 64 - 24

=> y = 40

Hence, present age of Ram is 40 yrs.