Question

Rakesh is twice as odd as his cousin.after 4 years the ratio of their ages will be 3:2 what are their present ages

Answer 1

hope it will be helpful...

Answer 2

Given :

• Rakesh is twice as old as his cousin.
• After 4 years , the ratio of their ages will be 3:2.

To find :

• Their present ages.

Solution :

Consider,

• Present age of Rakesh = x years
• Present age of his Cousin = y years

According to the 1st condition :-

• Rakesh is twice as old as his cousin.

$\implies\sf{x=2y.................(1)}$

According to the 2nd condition :-

• After 4 years , the ratio of their ages will be 3:2.

${\underline{\underline{\bold{After\:4\: years\:,}}}}$

• Age of Rakesh = (x+4) years
• Age of his cousin = (y+4) years

$\implies\sf{(x+4):(y+4)=3:2}$

$\implies\sf{\dfrac{x+4}{y+4}=\dfrac{3}{2}}$

$\implies\sf{\dfrac{2y+4}{y+4}=\dfrac{3}{2}\:\big[Put\:x=2y\: from\: eq (1)\big]}$

$\implies\sf{4y+8=3y+12}$

$\implies\sf{4y-3y=12-8}$

$\implies\sf{y=4}$

• Present age of his Cousin = 4 years

Now put y=4 in eq (1) for getting the value of x.

$\implies\sf{x=2y}$

$\implies\sf{x=2\times\:4}$

$\implies\sf{x=8}$

• Present age of Rakesh = 8 years

Therefore, the present age of Rakesh is 8 years and the present age of his cousin is 4 years.