Question

Present age of a mother and her son are in ratio 11:5. When the son becomes as old as his mother is now then the ratio of his father to his mother's age will be 19:17 and when the son becomes as old as his father is now then the sum of his father's age and his age will be 170 years. The find the present age of father.

Answer 1

Answer:

The answer is 65 years.

Step-by-step explanation:

Let  

Mp = 11x        Sp = 5x         Fp = y

Years => (11x - 5x) =  6x

After 6x years

M6 = 11x + 6x  = 17x  

F6 = y + 6x

Now

y + 6x/17x = 19/17

17y + 17 x 6x = 17 x 19x

17y = 17( 19x - 6x)

y = 13x

Now put the value in Fp = y = 13x    .....(1)

Now find the years.

years=> (13x -5x) = 8x

After 8x years

F8 = y + 8x = 13x + 8x = 21 x

S8 => 5x + 8x = 13x

21x + 13x = 170 yers

34x = 170 years

x = 170/34 = 5 years

Now put the value of x in equation (1)

Fp = y = 13 x 5 years = 65 years.