Question

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

are they? algebra form​

Answer 1

Answer:

$\sf\large\underline\green{AnSWeR}$

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 $\sf\large\underline\red{11\:years}$and $\sf\large\underline\red{16\:years}$respectively

Answer 2

Answer:

Answer:

$\sf\large\underline\green{AnSWeR}$

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

11years

16years

respectively