Question

The ratio of present ages of Neeta and rohit is 2:3. Five years ago their ages were in the ratio 3:5. Find their present ages.​

Answer 1

Given :

• Present Ages of Neeta and Rohit are in ratio 2:3.
• Five Years Ago their ages were in ration 3:5.

To Find :

• Present Age of Neeta and Rohit.

Solution :

$\longmapsto\tt{Let\:Present\:Age\:of\:Neeta=2x}$

$\longmapsto\tt{Let\:Present\:Age\:of\:Rohit=2x}$

Five Years Ago :

$\longmapsto\tt{Age\:of\:Neeta=2x-5}$

$\longmapsto\tt{Age\:of\:Rohit=3x-5}$

A.T.Q :

$\longmapsto\tt{\dfrac{2x-5}{3x-5}=\dfrac{3}{5}}$

$\longmapsto\tt{5(2x-5)=3(3x-5)}$

$\longmapsto\tt{10x-25=9x-15}$

$\longmapsto\tt{10x-9x=-15+25}$

$\longmapsto\tt\bold{x=10}$

Value of x is 10...

Therefore :

$\longmapsto\tt{Present\:Age\:of\:Neeta=2(10)}$

$\longmapsto\tt\bold{20\:yrs.}$

$\longmapsto\tt{Present\:Age\:of\:Rohit=3(10)}$

$\longmapsto\tt\bold{30\:yrs.}$