Step-by-step explanation:

Given that,

Rani is 8 years older than Shweta.

In order to find their ages, let's assume that the age of Rani = x

If age of Rani is x

Then Shweta's age = x - 8 (Since Shweta is younger)

Now given that the sum of their ages is 26

=> Age of Rani + age of Shweta = 26

=> x + x - 8 = 26

=> 2x - 8 = 26

=> 2x = 26 + 8

=> 2x = 34

=> x = 34/2

=> x = 17years

Since we have assumed that x = Rani's age

so Rani's age = 17 years

Now Shweta's age = x - 8

=> 17 - 8

=> 9

So Rani's age = 17 years

Shweta's age = 9 years

Answer:

age of sweeta : 09 yrs

age of rani : 17 yrs

Step-by-step explanation:

first,

age of sweeta : x

age of rani : x + 8

both sum : 26

now,

(x) + (x + 8) = 26

2x + 8 = 26

2x = 26 - 8

2x = 18

x = 18 ÷ 2

x = 9

so,

age of sweeta : x = 9

age of rani : x + 8 = 17

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