Question

Radha is 19 years old younger than her cousin after 5 years their ages are in ratio 2 : 3 find their present ages

Answer 1

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now,
A. T. Q
let the age of cousin =x
then age of radha =19+x
later 5 year,
the age of radha =19+x+5=24+x
the age of cousin =x+5
A. T. q
x+5/24+x=2/3
3(x+5)=2(24+x)
3x+15=48+2x
3x-2x=48-15
x=33
now,
radha age =19+33=52
cousin=33

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Answer 2

GIVEN:-

Radha is 19 years younger than his Cousin.

ratios of their ages after 5 years = 2:3

FIND:-

THEIR PRESENT AGES ?

SOLUTION:-

Let age of Cousin be x years

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

After 5 years

Age of Cousin = x+5 years

Age of Radha = 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:

COUSIN = x = 52 years

Radha = x -19 = 52 - 19 = 33 years

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

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