Question

4 years ago, Anuj was three times as old as his sister Priya. 4 years from now, he will be twice as old as his sister. find their present age

Answer 1

Answer:

The present age of Priya is 12 years

The present age of Anuj is 28 years

Step-by-step explanation:

4 years ago,

The age of Priya = x

The age of Anuj = 3x

Present time :

The present age of Priya = x + 4

The present age of Anuj = 3x + 4

After 4 years,

The age of Priya = x + 4 + 4 = x + 8

The age of Anuj = 3x + 4 + 4 = 3x + 8

Also,

Anuj will be twice as old as his sister

So,

⇒ 2 (x + 8) = 3x + 8

⇒ 2x + 16 = 3x + 8

⇒ 2x - 3x = 8 - 16

⇒ - 1x = - 8

⇒ x = 8

The present age of Priya = x + 4

⇒ x + 4

⇒ 8 + 4

⇒ 12

The present age of Anuj = 3x + 4

⇒ 3x + 4

⇒ 3 (8) + 4

⇒ 28

Therefore,

The present age of Priya is 12 years

The present age of Anuj is 28 years

Answer 2

Answer:

your answer is here buddy.....

let Anuj present age be = x

let priya present age be = y

According to question.,

x =4 - 3y..........(1)

&

x = 4 + 2y........(2)

Then, from ( 2)

x = 4 + 2y

x - 4 = 2y

x - 4 / 2 = y..........(3)

put (3) y value in (1),

x = 4 - 3[ x - 4 / 2 ]

x = 4 - 3x - 12

2

x = 8 - 3x - 12

2

x + 3x = -4

2

4x = -2

x = -2/4

x = -1/ 2

now put x value in (1),

x = 4 - 3y

-1/2 = 4 - 3y

-1 - 8 = - 3y

2

-9 = y

- 6

y = 9/6

y = 3/2

hope this will help you...