Question

Amit is 19 times younger than his cousin After 5 years,their ages will be in the ratio of 2:3 find their present ages​

Answer 1

Answer:

Let cousin's age be x

So, Raju's age will bex−19

After 5 years ratio of their ages will be=

3

2

So,

x+5

x−19+5

=

3

2

x+5

x−14

=

3

2

3x−42=2x+10

3x−2x=42+10

x=52

x−19=52−19=33

Therefor present age of Raju is 33 years and present age of his cousin is 52years.

Step-by-step explanation:

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Answer 2

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Answer

Let,

• Present age of Amit = x years

So,

• Present age of cousin = ( x + 19) years

➜ After 5 years ;

• Age of Amit = ( x + 5 ) years
• Age of cousin = ( x + 24 ) years

➜ According to question,

• ➜ x + 5 / x + 24 = 2 / 3
• ☞ 3 ( x + 5 ) = 2 ( x + 24)
• ☞ 3x + 15 = 2x + 48
• ☞ 3x - 2x = 48 - 15
• ☞ x = 33

➜ So,

• Age of Amit = x = 33 years
• Age of cousin = x + 19 = 33 + 19 = 52 years

➜ Hence,

• Present Age of Amit = 33 years
• Present age of cousin = 52 years