Question

Two numbers are in the ratio 9:4. If 7 is added to each of the numbers, the ratio becomes 5:3.
Find the numbers.​

Answer 1

Answer:

this is your answer.

hope it will helpful to you

Answer 2

Answer:

The numbers are 18 and 8.

Step-by-step explanation:

Let,

First number = 9x

Second number = 4x

If 7 is added to each of the numbers

First number = 9x + 7

Second number = 4x + 7

Also,

The ratio becomes 5 : 3

So,

$\dfrac{9x \: + \: 7}{4x \: + \: 7} \: = \: \dfrac{5}{3}$

=> 3 (9x + 7) = 5 (4x + 7)

=> 27x + 21 = 20x + 35

=> 27x - 20x = 35 - 21

=> 7x = 14

=> x = 14 / 7

=> x = 2

First number = 9x

=> 9 (2)

=> 18

First number = 18

Second number = 4x

=> 4 (2)

=> 8

Second number = 8

∴ The numbers are 18 and 8.