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

Given :-

• Raju is 19 years younger than his cousin . after 5 years their ages will be in the ratio 2:3.

To find :-

• Present ages

Solution :-

Let the present age of Raju's cousin be x then Raju be x + 15

• After 5 years

→ Raju's cousin age = x + 5

→ Raju age = x + 19 + 5 = x + 24

• According to the given condition

→ x + 5/x + 24 = ⅔

→ 3(x + 5) = 2(x + 24)

→ 3x + 15 = 2x + 48

→ 3x - 2x = 48 - 15

→ x = 33

Hence,

• x = 33

Therefore,

• Raju age = x = 33 years

• Raju's cousin age = x + 19 = 52 years

Answer 2

Answer:

✳️ Given ✳️

• Raju is 19 years younger than his cousin. After 5 years, their ages will be the ratio 2:3 .

✳️ To Find ✳️

• What is the present age.

✳️ Solution ✳️

✒️ Let cousin's age be x

✒️ Then, Raju's age will be x - 19

✒️ After, t years ratio of their ages will be = $\dfrac{2}{3}$

➕ According to the question,

$\implies$ $\dfrac{x - 19 + 5}{x + 5}$ = $\dfrac{2}{3}$

$\implies$ $\dfrac{x - 14}{x + 5}$ = $\dfrac{2}{3}$

✍️ By doing cross- multiplication we get,

$\implies$ 3x - 42 = 2x + 10

$\implies$ 3x - 2x = 42 + 10

$\dashrightarrow$ x = 52

$\therefore$ Present age of cousin's = 52 years.

And, the present age of Raju's = x - 19 = 52 - 19 = 33 years.

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