Question

Vani, her father and her grandfather have an age of 53. One- half of her grandfather's age plus one-third of her father's age plus one fourth of vani's age is 65. Four years ago if vani's grandfather was four times as old as vani then how old are they all now?

Answer 1

Answer:

24 , 51 & 84 Years

Step-by-step explanation:

Let say Vani age = V

Father Age = F

Grandfather Age = G

G + F + V = 3 * 53

=> G + F + V = 159    - eq 1

G/2  + F/3  + V/4 = 65

multiplying by 12 both sides

=> 6G + 4F + 3V = 780    - eq 2

(G-4) = 4(V-4)

=> G - 4 = 4V - 16

=> G  - 4V = - 12    eq 3

eq 2 - 4 * eq 1

= 2G - V = 144   eq 4

eq 4  - 2 * eq3

=> 7V = 168

=> V = 24

G - 4*24 = -12

=> G = 84

G + F + V = 159

84 + F + 24 = 159

=> F = 51