Question

ram is 19 year younger than Kajal their age will be in the ratio of 2: 3 after 5 year. find their present age.​

Answer 1

Answer

Kajal's age =x

Ram's age= x-19

Ratio of their ages after 5 years are:

Ram : Kajal

2 : 3

Therefore, Kajal's age will be

x+5=3x

5=3x-x

5=2x

5/2=x

And Ram's age will be

x-19+5=2x

x-14=2x

x-2x=14

-x=14

Therefore, Kajal is 2 and 1/2 years, whereas Ram is 14 years.

Answer 2

GIVEN:-

Ram is 19 years younger than his Kajal.

ratios of their ages after 5 years = 2:3

FIND:-

THEIR PRESENT AGES ?

SOLUTION:-

Let age of Kajal be x years

$\therefore$ Age of Ram = x-19 years

After 5 years

Age of Kajal = x+5 years

Age of Ram = x - 19 + 5 = x - 14 years

ACCORDING TO QUESTION

$\frac{x - 14}{x + 5} = \frac{2}{3}$

$= 3 \times ( x - 14) = 2( x+ 5)$

$= > 3x - 42 = 2x + 10$

$collect \: like \: terms$

$= > 3x - 2x = 10 + 42$

$x = 52$

So, Present age of:

Kajal = x = 52 years

Ram = x -19 = 52 - 19 = 33 years

$so, \: Kajal \: present \: age \underline{ \boxed{52 \: years}}$

$and \: Ram\: present \: age \underline{ \boxed{33 \: years}}$