Question

raju is 19 years younger than his cousin. after 5 years, their ages will be in the ratio 2:3. find their present ages.​

Answer 1

Answer:

Raju's present age = 33yrs and his cousin's present age = 52 yrs

Step-by-step explanation:

Let Cousin's present age be 'x' years

Therefore Raju's present age is 'x - 19' years

Raju's age after 5 years = x - 19 + 5

= x - 14

Cousin's age after 5 years = x + 5

According to the question -

x - 14/x + 5 = 2/3

Cross multiplying

3x - 42 = 2x + 10

3x - 2x = 10 + 42

x = 52 years

x - 19 = 52 - 19 = 33 yearsq

Answer 2

Ⓖⓘⓥⓔⓝ :-

Raju is 19 years younger than his cousin.

ratios of their ages after 5 years = 2:3

Ⓕⓘⓝⓓ :-

THEIR PRESENT AGES ?

Ⓢⓞⓛⓤⓣⓘⓞⓝ  :-

Let age of cousin be x years

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

After 5 years

Age of cousin = x+5 years

Age of Raju = 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

Raju = x -19 = 52 - 19 = 33 years

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

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