Question

shalini's mother age is 26 years younger than her grandmother and 29 years older than shalini.the sum of their ages of all the three is 135 years . what is the age of each one of them?

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Answer 1

Step-by-step explanation:

Solution :

Let,

• Age of Shalini = x
• Age of Shalini's Mother = x + 29
• Age of Shalini's Grandmother = x + 29 + 26 = x + 55

The sum of their ages of all the three is 135 years.

★ According to the Question :

⇒ x + (x + 29) + (x + 55) = 135

⇒ 3x + 84 = 135

⇒ 3x = 135 - 84

⇒ 3x = 51

⇒ x = 51/3

⇒ x = 17

Age of Shalini = 17 years

• Age of Shalini's Mother = x + 29

⇒ x + 29

⇒ 17 + 29

⇒ 46

Age of Shalini's Mother = 46 years

• Age of Shalini's Grandmother = x + 55

⇒ x + 55

⇒ 17 + 55

⇒ 72

Age of Shalini's Grandmother = 72 years

Therefore,

Age of Shalini = 17 years

Age of Shalini's Mother = 46 years

Age of Shalini's Grandmother = 72 years

Answer 2

Given :

• Shalini's mother is 26 years younger than her grandmother
• 29 years older than Shalini
• Sum of their ages is 135 years

To Find :

• Age of each one of them.

Solution :

Let

• Shalini's age = x
• Shalini's mother's age = (x + 29)
• Shalini's grandmother's age = (x + 29 + 26) = (x + 55)

Now, according to the question :

• Sum of their ages is 135 years.

=> x + (x + 29) + (x + 55) = 135

=> x + x + 29 + x + 55 = 135

=> 3x + 29 + 55 = 135

=> 3x + 84 = 135

=> 3x = 135 - 84

=> 3x = 51

=> x = 51/3

=> x = 17

Now,

• Shalini's age = x = 17
• Shalini's mother's age = x + 29 = 17 + 29 = 46
• Shalini's grandmother's age = x + 55 = 17 + 55 = 72

Therefore, Shalini's age, Shalini's mother's age and Shalini's grandmother's age are respectively 17 years, 46 years and 72 years respectively.