Question

The present age of Sita's father is 3 times the present age of Sita. After 6 years, sum of their ages will be 68. Find their present ages. ​

Answer 1

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Given :-

• Present age of Sita's father is three times the present age of Sita.

• After six years, sum of their ages will be 68.

To Find :-

• Their present ages.

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Let present age of Sita be x

Present age of Sita's father will be 3x

After six years, Sita's age will be 6 + x

After six years, Sita's father age will be 6 + 3x

According to question :-

• After six years, sum of their ages will be 68

Then,

(6 + x) + (6 + 3x) = 68

=> 6 + x + 6 + 3x = 68

=> 12 + 4x = 68

=> 4x = 68 - 12

=> 4x = 56

=> x = 56/4

=> x = 14

=> 3x = 3 × 14 = 42

Hence, present ages of Sita and her father are 14 and 42 years respectively.

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Answer 2

AnswEr:-

Your Answer Is,

• Sita's age = 14 Years.

• Sita's father age = 42 years.

ExplanaTion:-

Given:-

• Sita's father's age is 3 times the age of Sita.

• After 6 years sum of their ages would be 68.

To Find:-

• Their present ages.

Now,

• Let the present age of Sita be 'x'

• And hence her father's present age = '3x'

So,

• Age of Sita after 6 years = (x + 6 years)

• Age of her father after 6 years = (3x + 6 years).

Therefore ATQ:-

↦ (x + 6 years) + (3x + 6 years) = 68 years.

↦ x + 6 years + 3x + 6 years = 68 years.

↦ 4x + 12 years = 68 years.

↦ 4x = (68 - 12) years.

↦ 4x = 56 years.

↦ x = 56 years/4.

↦ x = 14 years.

So her Father's age,

= 3x

= 3 × 14 years

= 42 years.

Therefore the present ages of Sita and her father is 14 years and 42 years respectively.