Question

The sum of the ages of Nikku and Pachu is 18 years and the different between their ages is 4 years. Find the ages of Nikku and Pachu.

​

Answer 1

Answer:

Pachu's present age is 7 years and Nikku is 11 years old.

Step-by-step explanation:

Given :

Sum of Nikku and Pachu's ages = 18

Difference between the ages = 4

To find :

Ages of Nikku and Pachu

Solution :

Let the ages be -

• Nikku as x
• Pachu as y

⇒ x + y = 18

⇒ x = 18 - y ..........(1)

$\rule{300}{1.5}$

Difference between the ages = 4

⇒ x - y = 4

⇒ (18 - y) - y = 4

⇒ 18 - 2y = 4

⇒ - 2y + 18 = 4

⇒ - 2y = 4 - 18

⇒ - 2y = - 14

⇒ y = 14/2

⇒ y = 7

Pachu's present age = 7 years

$\rule{300}{1.5}$

★ Value of x

⇒ x = 18 - y

⇒ x = 18 - 7

⇒ x = 11

Nikku's present age = 11 years

$\therefore$ Pachu's present age is 7 years and Nikku is 11 years old.

Answer 2

Answer:

Suppose Nikku age will be = x.

and Pachu age will be = y .

• x + y = 18.
• x = 18 - y ...(1).

Difference between their ages is 4 years .

Therefore,

• x - y = 4.
• (18 - y) - y = 4 .
• 18 - 2y = 4.
• -2y + 18 = 4 .
• -2y = 4 - 18 .
• -2y = -14 .
• y = 14/2.
• y = 7 .

Pachu present age = 7 years .

• Now , value of x .

x = 18 - y .

x = 18 - 7 .

x = 11.

Nikku present age = 11 years .