Rakesh’s age is less than Sania’s age by 5 years. The sum of their

1.	Rakesh’s age is less than Sania’s age by 5 years. The sum of their ages is 27 years. How old are they?
Answer» Let the age of Rakesh be x years. ∴ Sania’s age = (x + 5) years. According to the given condition, x + (x + 5) = 27 ∴ 2x + 5 = 27 ∴ 2x = 27 – 5 ∴ 2x = 22 ∴ x = 22/2 = 11 ∴ Sania’s age = x + 5 = 11 + 5 = 16 years ∴ The ages of Rakesh and Sania are 11 years and 16 years respectively.

Rakesh’s age is less than Sania’s age by 5 years. The sum of their ages is 27 years. How old are they?

Answer»

Let the age of Rakesh be x years.

∴ Sania’s age = (x + 5) years.

According to the given condition,

x + (x + 5) = 27

∴ 2x + 5 = 27

∴ 2x = 27 – 5

∴ 2x = 22

∴ x = 22/2 = 11

∴ Sania’s age = x + 5 = 11 + 5 = 16 years

∴ The ages of Rakesh and Sania are 11 years and 16 years respectively.