Question

The ages of Arjun and trupti are in the ratio 2:3 q0 years later the sum of their ages will be 45 years what are their present ages

Answer 1

     $\huge\underline{\underline{\bf \bigstar ANSWER \bigstar}}$

Let the present age of Arjun be 2x and the present age of Trupti be 3x .

After 10 years ,

Age of Arjun = 2x + 10

Age of Trupti = 3x + 10

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According to the question ,

$\sf\longrightarrow (2x+10)+(3x+10) = 45\\\\\longrightarrow 5x+20 = 45\\\\\longrightarrow 5x = 45-20\\\\\longrightarrow 5x = 25 \\\\\longrightarrow \bf x = 5$

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Present age of Arjun = 10 years

Present age of Trupti = 15 years

Hope it helps u ......... :)

Answer 2

Correct Question:

The ages of Arjun and trupti are in the ratio 2:3 . 10 years later the sum of their ages will be 45 years what are their present ages

Answer:

The present age of Arjun is 10 years

The present age of Trupti is 15 years

Step-by-step explanation:

Let,

The present age of Arjun = 2x

The present age of Trupti = 3x

After 10 years,

The age of Arjun = 2x + 10

The age of Trupti = 3x + 10

Also,

★ The sum of their ages will be 45 years

So,

⇒ (2x + 10) + (3x + 10) = 45

⇒ 2x + 3x + 10 + 10 = 45

⇒ 5x + 20 = 45

⇒ 5x = 45 - 20

⇒ 5x = 25

⇒ x = 25 / 5

⇒ x = 5

___________________________

★ Value of 2x :

⇒ 2 (5)

⇒ 2 × 5

⇒ 10

____________________________

★ Value of 3x :

⇒ 3 (5)

⇒ 3 × 5

⇒ 15

Therefore,

The present age of Arjun is 10 years

The present age of Trupti is 15 years