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.
A father is 30 years older than his son. In 12 years, the man will be three times as old as his​

Answer 1

Answer:

ans is

Step-by-step explanation:

Raju is 57 years old and his cousin is 38 years old

Answer 2

${\rm{\blue{\underline{\underline{\huge{Solution}}}}}} \huge{\pink{࿐}}$

Let the age of Raju be x

and the age of Raju's cousin be 19 + x

After 5 years

Age if Raju = x + 5

Age of Raju's cousin = 19 + x + 5 = 24 + x

Ratio of their ages = 2:3

$⇒ \frac{x \: + \: 5}{24 \: + \: x} = \frac{2}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ ⇒3(x \: + \: 5) = 2(24 \: + \: x) \\ \\ ⇒ 3x + 15 = 48 + 2x \: \: \: \: \: \: \: \: \: \\ \\ ⇒3x - 2x = 48 - 15 \: \: \: \: \: \: \: \: \: \: \\ \\ ⇒x = 33 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hence, present age of Raju is 33 years

and the present age of Raju's cousin is 19 + 33 = 52 years.

2. Let the present age of son be x

Then the age of his father be (x + 30)

After 12 th3 father will be 3 times as old as his son then,

⇒ (x + 12)3 = x + 30 + 12

⇒ 3x + 36 = x + 42

⇒ 3x - x = 42 - 36

⇒ 2x = 6

⇒ x = 6/2

⇒ x = 3

Thus, the age of son be 3 and the age of his father be 3 + 30 = 33

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