Question

Rohit is 6 years older than virat and after 5 years Rohit will be twice the age of virat find the present age​

Answer 1

ANSWER :

Rohit's present age is 7 years and Virat's present age is 1 year.

EXPLANATION :

GIVEN :-

• Rohit is 6 years older than virat .
• After 5 years Rohit will be twice the age of Virat.

TO FIND :-

• Present age of Rohit and Virat.

SOLUTION :-

Consider,

Age of Virat = x year.

•Rohit is 6 years older than Virat.

Age of Rohit = (x+6) years.

★ After 5 years ,

Age of Virat = (x +5) years.

Age of Rohit = (x+6+5) years

= (x +11) years

•After 5 years , Rohit will be twice the age of Virat.

According to the question,

$\sf{x+11=2(x+5)}$

$\implies\sf{x+11=2x+10}$

$\implies\sf{x-2x=10-11}$

$\implies\sf{-x=-1}$

$\implies\sf{x=1}$

✪Age of Virat = 1 year.

✪ Age of Rohit = (1+6)=7 years.

__________________

VERIFICATION :

Present age of Virat= 1 year.

Present age of Rohit = 7 years.

After 5 years,

Virat's age = (1+5)=6 years

Rohit's age = (7+5) = 12 years

★ ATQ,

$\sf{Rohit's\:age(after\:5\:years)=2\times\: Virat's\:age(after\:5\: years)}$

$\implies\sf{12=2\times\:6}$

$\implies\sf{12=12(Verified)}$

_____________________

Answer 2

Solution :

$\bf{\red{\underline{\underline{\bf{Given\::}}}}}$

Rohit is 6 years older than virat and after 5 years Rohit will be twice the age of virat.

$\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}$

The present age.

$\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$

Let the present age of Rohit be (r+6) years

Let the present age of Virat be r years

A/q

$\blacksquare\bf\large{\underline{\underline{\bf{After\:5\:years\::}}}}}$

The age of Rohit be = (r+5+6) years.

The age of Virat be = (r+5) years.

So;

$\mapsto\tt{r+11=2(r+5)}\\\\\mapsto\tt{r+11=2r+10}\\\\\mapsto\tt{r-2r=10-11}\\\\\mapsto\tt{\cancel{-}r=\cancel{-}1}\\\\\mapsto\tt{\orange{r=1}}$

Thus;

The present age of Virat is r = 1 years.

The present age of Rohit is (r+6) = 1+6 = 7 years.