Question

Vandana’s father is thrice as old as Vandana.After 12 years , he will be just twice his daughter.

Answer 1

Answer:

x=12(vandanas age)

3x=36(fathers age)

Step-by-step explanation:

let age of vandana be x and then his fathers age is 3x

after 12 yrs

age of vandana=x+12

age of father = 3x+12

ATQ,

2(x+12)=3x+12

2x+24=3x+12

3x-2x=24-12

x=12

hope it helps

mark me brainliest

Answer 2

Correct Question :

Vandana's father is thrice as old as Vandana . After 12 years , he will be just twice his daughter. Find their present ages.

Given :

• Vandana's father is thrice as old as Vandana.
• After 12 years , he will be just twice his daughter.

To find :

• Their present ages.

Solution :

Consider,

• Present age of Vandana's father = x years.
• Present age of Vandana = y years.

According to the 1st condition :-

• Vandana's father is thrice as old as Vandana.

$\to\sf{x=3y............(1)}$

According to the 2nd condition :-

• After 12 years , he will be just twice his daughter.

After 12 years,

• Age of Vandana's father = (x+12) years
• Age of Vandana = (y+12) years

$\to\sf{x+12=2(y+12)}$

$\to\sf{3y+12=2y+24\:[put\:x=3y\: from\: eq (1)]}$

$\to\sf{3y-2y=24-12}$

$\to\sf{y=12}$

• Present age of Vandana = 12 years.

Now , put y = 12 in eq(1) for getting the value of x.

$\to\sf{x=3y}$

$\to\sf{x=3\times\:12}$

$\to\sf{x=36}$

• Present age of Vandana's father = 36 years.