Question

Anil is 19 years younger than his cousin.After 5 years their ages will be in ratio 2:3.Find their present ages

Answer 1

Answer:

Step-by-step explanation:

Let Anil age be X

And his cousin be X+19( given in question)

Ratio of their ages =2:3

Anil age/his cousin age = 2:3

X+5/X+24=2/3

By cross multiplying

3x+15=2x+48

3x-2x=48-15

X=33

Anil age is 33 years and his cousin is X+19=33+19=52 years

Answer 2

GIVEN:-

Anil 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 Anil = x-19 years

After 5 years

Age of Cousin = x+5 years

Age of Anil = 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

Anil = x -19 = 52 - 19 = 33 years

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

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