Question

Sabarmati is much younger than Rani as Sabarmati is older than Sneha. If the sum of the ages of Rani and Sneha is 64 years, then what is Sabarmati’s age?​

Answer 1

Given:

Sabarmati is much younger than Rani as Sabarmati is older than Sneha.

If the sum of the ages of Rani and Sneha is 64 years

To find:

What is Sabarmati’s age?​

Solution:

Let's assume,

"x" → represents Sabarmati's age

"y" → represents Rani's age

"z" → represents Sneha's age

Since Sabarmati is much younger than Rani as Sabarmati is older than Sneha, so we can form an equation as:

(Rani's age) - (Sabarmati's age) = (Sabarmati's age) - (Sneha's age)

⇒ $y - x = x - z$

⇒ $y + z = 2x$ ..... (i)

Also, the sum of the ages of Rani and Sneha is 64 years, so we can form an equation as:

(Rani's age) + (Sneha's age) = 64

⇒ $y + z = 64$

⇒ $y + z = 2 \times 32$ .... (ii)

Compairing eq. (i) & (ii), we get

$\bold{x = 32\:years}$

Thus, Sabarmati's age is → 32 years.

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