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??
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Let Vani’s age be x
Let Vani’s father’s age be y
Let Vani’s grand father’s age be z.
Sub, z = 84 in (3), we get 4x – 84 = 12 4x = 96 x = 24
Sub, x = 24, z = 84 in (1) we get 24 + y + 84 = 159 y = 159 – 108 = 51
∴ Vani’s age = 24 years Her father’s age =51 years
Her grand father’s age = 84 years
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