Question

Two years ago, Shourya was 6 years older than Priyanka. Now, he is thrice as old as she is. Find
their present ages.
please answer fast and detAILED

Answer 1

Answer:

The present age of Shourya is 9 years.

The present age of Priyanka is 3 years.

Step-by-step-explanation:

Let the present age of Shourya be x years.

And the present age of Priyanka be y years.

Now,

Age of Shourya two years ago = ( x - 2 ) years

Age of Priyanka two years ago = ( y - 2 ) years

Now, from the first condition,

( x - 2 ) = ( y - 2 ) + 6

⇒ x - 2 = y - 2 + 6

⇒ x - 2 = y + 4

⇒ x = y + 4 + 2

⇒ x = y + 6 - - ( 1 )

Now, from the second condition,

x = 3 * y

⇒ x = 3y

⇒ y + 6 = 3y - - [ From ( 1 ) ]

⇒ 3y = y + 6

⇒ 3y - y = 6

⇒ 2y = 6

⇒ y = 6 ÷ 2

⇒ y = 3

Now, by substituting y = 3 in equation ( 1 ), we get,

x = y + 6 - - ( 1 )

⇒ x = 3 + 6

⇒ x = 9

∴ The present age of Shourya is 9 years.

The present age of Priyanka is 3 years.

Answer 2

Answer:

Shourya's present age=9

Priyanka's age=3

Step by Step Explaination:

2 years ago:

Let Priyanka's age was x

Shourya's age was x+6

Present:

Shourya=(x+6)+2

Priyanka=(x+2)

As it is mentioned in Question...."Now he is thrice as old as Priyanka"

Therefore,

Shourya's present age=Thrice of Priyanka's present age

(x+6)+2 = 3(x+2)

x+8=3x+6

8-6=3x-x

2=2x

1=x

•°•2 years ago...Priyanka was 1 yr old

Using this we can find their present age...

• Priyanka's present age will be = x+2

=1+2

=3

• Shourya's present age =3(x+2

=3×3

=9