Question

7) Vandana is four times as old as her brother Ashish at present. After 10yrs, she will be twice the age of her brother. Find their present ages.?

Answer 1

$\fontsize{18}{10}{\textup{\textbf{Their present ages are 20 and 5 yeras}}}$

Step-by-step explanation:

Let the age of Vandana be 4x and her brother be x years

After 10 years Vandana=4x+10 years

her brother after 10 years= x+10

According to the question

4x+10=2(x+10)

=>4x-2x=20-10

=>2x=10

=>x=5

So their present ages of Vandana and her brother are 4*5 and 5 years respectively

Vandana= 20 years, Her brother= 5 years

Answer 2

Answer:

Vandana is 20 years old and Ashish is 5 years old.

Step-by-step explanation:

Given :

Vandana = four times as old as Ashish

After 10 years = Vandana will be twice the age of her brother

To find :

Thier present ages

Solution :

Let the present ages be -

• Ashish = y
• Vandana = 4y

Ages after 10 years -

• Ashish = (y + 10)
• Vandana = (4y + 10)

⇒ 4y + 10 = 2(y + 10)

⇒ 4y + 10 = 2y + 20

⇒ 4y - 2y = 20 - 10

⇒ 2y = 10

⇒ y = 10/2

⇒ y = 5

Ashish is presently 5 years old.

$\rule{300}{1.5}$

★ Vandana's present age -

⇒ 4 × 5

⇒ 20

Vandana = 20 years old

$\therefore$ Vandana is 20 years old and Ashish is 5 years old.