Question

Arjun is thrice as old as Priya. 3 years ago his age was 6 times Priya's age find a present ages​

Answer 1

ANSWER:

• Age of Arjun = 15

• Age of Priya = 5

GIVEN:

• Arjun is thrice as old as Priya.

• 3 years ago his age was 6 times that of Priya's age.

TO FIND:

• Present ages of Arjun and Priya.

ASSUMPTON:

• Let Priya's age = x

• Let Arjun's age = y

EXPLANATION:

• y = 3x

• y - 3 = 6(x - 3) ---------> 1

• Substitute y = 3x in equation 1

• 3x - 3 = 6x - 18

• 3x - 6x = - 18 + 3

• - 3x = - 15

• x = 5

• Substitute x = 5 in y = 3x

• y = 3(5)

• y = 15

HENCE PRIYA IS FIVE YEARS OLD AND ARJUN IS 15 YEARS OLD

VERIFICATION:

Substitute x = 5 and y = 15 in equation 1

15 - 3 = 6(5 - 3)

12 = 6(2)

12 = 12

HENCE VERIFIED.

Answer 2

Let , the present age of priya be " x "

Given ,

The present age of arjun is thrice as old as priya

Thus ,

Arjun's present age = 3x

And

3 years ago , the age of arjun was 6 times as priya's Age

Thus ,

3x - 3 = 6(x - 3)

3x - 3 = 6x - 18

3x = 15

x = 15/3

x = 5

$\sf \therefore\underline{The \: present \: ages \: of \: arjun \: and \: priya \: are \: 15 \: years \: and \: 5 \: years }$