Question

Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are

A) 21 and 35 B) 30 and 50 C) 24 and 40 D) 18 and 30

Answer 1

ANSWER:

• Correct option = (D)

GIVEN:

• Two numbers in ratio 3:5.
• If 6 is added to both of them, the ratio becomes 2:3.

TO FIND:

• The required number.

SOLUTION:

Let the ratio of the number be 3x and 5x.

According to the Question:

$\implies \: \dfrac{3x + 6}{5x + 6} = \dfrac{2}{3} \\ \\ \implies \: 3(3x + 6) = 2(5x + 6) \\ \implies \: 9x + 18 = 10x + 12 \\ \implies \: 18 - 12 = 10x - 9x \\ \implies \: 6 = x \\ \implies \: x = 6 \\ \\ number \: are \: 3x \: and \: 5x \\ = 3 \times 6 \\ = 18 \\ \\ = 5 \times 6 \\ = 30$

Numbers are 30 and 18.

Correct option = (D)

Answer 2

Answer:

Option D

Step-by-step explanation:

Ratio = 3:5

let the ratio be = 3x/5x

So if 6 is added to both the numbers then

3x+6/ 5x+6

3x+6/ 5x+6 = 2/3

After cross multiplication

3(3x+6) = 2(5x+6)

9x + 18 = 10x + 12

9x - 10x = 12 - 18

-x = -6

So x= 6

thus the no. are 3x= 3*6 = 18 and 5x = 5*6 = 30

Hope it helps you .

Pls mark me as the brainliest.