Question

Age of sunita is twice then age of mohan after 5 years age of sunita will be half of 3 times of mohan's age find their age​

Answer 1

Answer:

The age of Sunita is 10 years and that of the Mohan is 5 years

Given :

Age of Sunita is twice then age of Mohan.

After 5 years age of Sunita will be 3 times of Mohan's age

To Find :

The present age of Sunita and Mohan

Solution :

Let us consider the present age of Sunita be x years and that of Mohan be y years

According to question

And again by question

Thus the age of Mohan is 5 years

Now from (1) we have ,

Therefore, the age of Sunita is 10years

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Answer 2

$\huge\sf\pink{Answer}$

☞ The age of Sunita is 10 years

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ After 5 years age of Sunita will be 3 times of Mohan's age

✭ Age of Sunita is twice then age of Mohan.

$\rule{110}1$

$\huge\sf\gray{To\:Find}$

☆ The present age of Sunita and Mohan

$\rule{110}1$

$\huge\sf\purple{Steps}$

Let us consider the present age of Sunita be x years and that of Mohan be y years

According to question

$\sf \dashrightarrow x =2y .... (1)$

And again by question

$\sf \dashrightarrow x+5=\dfrac{3}{2} (y+5)\\\\ \sf\dashrightarrow 2 (x+5)=3(y+5)\\\\ \sf\dashrightarrow 2x+10=3y+15 \\\\ \sf \dashrightarrow 2x-3y = 5 \\\\ \sf \dagger \: \: Putting \: the \: value \: of \: x \: in \: above \: equation \\\\ \sf \dashrightarrow 2(2y) - 3y = 5 \\\\ \sf\dashrightarrow 4y - 3y = 5 \\\\ \color{lime}{\sf\dashrightarrow y = 5}$

Thus the age of Mohan is 5 years

Now from (1) we have ,

$\sf\twoheadrightarrow x = 2(5) \\\\ \color{aqua}{\sf\twoheadrightarrow x = 10}$

$\rule{170}3$