Question

Reena is twice as old as suma
Three years ago she was three times as old as suma.how old in Reena now?

Answer 1

Answer:

Reena is 12 years old

Step-by-step explanation:

Let the present age of Suma = x years

Then the present age of Reena = 2x years

Three years ago, age of Suma = x - 3

Three years ago, age of Reena = 2x - 3

According to the question

$2x-3=3(x-3)$

$\implies 2x-3=3x-9$

$\implies 3x-2x=9-3$

$\implies x=6$

Therefore the present age of Suma = 6 years

Present age of Reena  = 12 years

Therefore, Reena is 12 years old

Hope this helps.

Answer 2

Given:

Reena is 2 times older than Suma even though she was 3 times older than Suma 3 years ago.

To Find:

Reena's present age = ?

Solution:

Let,

Suma's present age be "x".

Then,

Reena's present age be "2x".

3 years ago,

Suma's age = x-3

Reena's age = 2x-3

According to the question,

⇒  $2x-3=3(x-3)$

⇒  $2x-3=3x-9$

⇒  $3x-2x=9-3$

⇒  $x=6$

Therefore,

Suma's present age = 6 years

Reena's present age = $2x$

                                   = $2\times 6$

                                   = $12 \ years$

So that Reena is 12 years old.