Math, asked by amitkumar10012003, 4 months ago

The ration of two number is 3: 5. if both numbers are increased by 5 their ratio becomes 2:3 find the number.

Answers

Answered by Priyapragya
0

Answer:

let the numbers be 3x and 5x so

according to the question

(3x + 5)/(5x +5) =2/3

9x +15 = 10x +10

  5= x

the numbers are 15 and 25 respectively.

Mark me as the brainliest

Step-by-step explanation:

Answered by Anonymous
5

Answer :-

  • First Number = 15.

  • Second Number = 25.

Explanation :-

Given :

  • Two numbers are in the ratio 3 : 5.

  • If both are increased by 5 , the ratio becomes 2 : 3.

To Find :

  • The Numbers.

Solution :

Let the numbers be 3x and 5x.

According to the Question,

⇒ (3x + 5)/(5x + 5) = 2/3.

⇒ 3(3x + 5) = 2(5x + 5).

⇒ 9x + 15 = 10x + 10.

⇒ 10x - 9x = 15 - 10.

x = 5.

Therefore,

  • First Number = 3x = 15.

  • Second Number = 5x = 25.

Verification :

⇒ (3x + 5)/(5x + 5) = 2/3.

⇒ (15 + 5)/(25 + 5) = 2/3.

⇒ 20/30 = 2/3.

⇒ 2/3 = 2/3.

LHS = RHS.

Hence, Verified.

Similar questions