Question

The ratio of two numbers is 3:4. When 5 is added to both, the new ratio
becomes 4:5. What are number?​

Answer 1

Here is the answer for your question...

Answer 2

Answer:

The numbers are 15 and 20.

Step-by-step explanation:

Let,

The first number = 3x

The Second number = 4x

When 5 is added to both

First number = 3x + 5

Second number = 4x + 5

Also,

The new ratio becomes 4 : 5

So,

$\bigstar\:{\boxed{\sf{\frac{3x \: + \: 5}{4x \: + \: 5 } \: = \: \frac{4}{5}}}}$

⇒ 5 (3x + 5) = 4 (4x + 5)

⇒ 15x + 25 = 16x + 20

⇒ 25 - 20 = 16x - 15x

⇒ x = 5

The first number = 3x

⇒ 3 (5)

⇒ 15

The first number = 15

____________________________

The Second number = 4x

⇒ 4 (5)

⇒ 20

The Second number = 20

∴ The numbers are 15 and 20.