Question

(i) Rakesh's age is less than Sonia's age by 5 years. The sum of their ages
is 27 years. How old are they?​

Answer 1

Answer:

Age of Sonia is 16 and age of Rakesh is 11.

Step-by-step explanation:

Let us assume Sonia's age to be x.

Therefore, Age of Rakesh = (x - 5)

Sum of their ages = 27.

∴ x + (x - 5) = 27

2x - 5 = 27

2x = 32

x = 16

∴ Age of Sonia is 16

Then age of Rakesh = 16 - 5

= 11 years

∴ Age of Sonia = 16

Age of Rakesh = 11.

Answer 2

Answer:

Sonia's age = 16 years  and,

Rakesh's age = 11 years

Step-by-step explanation:

Let the Sonia's age be $x$ years

then, Rakesh's age = $x - 5$ years

so, $x + (x - 5) = 27$            [given that sum of their ages = 27 years]

⇒ $2x - 5 = 27$

⇒ $2x = 27+5$

⇒ $x = \frac{32}{2}$

⇒ $x = 16$ years

∴ Sonia's age = 16 years  and,

Rakesh's age = 11 years.

hope it will help you.