Question

Dhruvi's father is 28 years younger than dhruvi's grandfather and 30 years older than dhruvi, the sum of the ages of all the three is 142 years, what is the age of each one of them?

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Answer 1

Answer:

Let Tarun's Father's age be x

Tarun's age = x-30

Tarun's Grandfather's age = x+28

Sum of ages = 106

(x-30)+(x)+(x+28) = 106

x-30+x+x+28=106

3x-2=106

3x=108

x=108/3

= 36

Tarun's age = x-30

= 36-30

= 6 years

Tarun's Father's age = x = 36 years

Tarun's Grandfather's age = x + 28

= 36+28

= 64 years

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Answer 2

Answer:

Age of Grandfather= 76

Age of Father = 48

Age of Dhruvi = 18

Step-by-step explanation:

Let age of Grandfather= x

Then,

Age of father= x-28

Age of Dhruvi = x-28-30

Given total sum of ages = 142

So

$x + (x - 28) + (x - 28 - 30) = 142$

$x + (x - 28) + (x - 58) = 142$

$x + x - 28 + x - 58 = 142$

$3x = 142 + 86$

$x = 228 \div 3 = 76$

We assumed Age of father is x, x = 76

Age of father = x-28 = 76-28 = 48

Age of Dhruvi = x-28-30 = 76-58 = 18