Question

Date:
Page:
The ratio of two no. is 5:7. When 6 added
to both the no. the ratio becomes
7ratio9.Find the numbers.​

Answer 1

5 : 7

5x, 7x

(5x + 6)/(7x + 6) = 7/9

45x + 54 = 49x + 42

12 = 4x

x = 3

Therefore, the numbers are 15 and 21

Answer 2

Answer:

15 and 21.

Explanation:

If two numbers are in the ratio of 5:7 and if 6 is added to each of them, then their ratio becomes 7:9 . What is the number?

-Two numbers are in the ratio of 5:7

Let the rational between two numbers be x.

Hence the two numbers are 5x and 7x

if 6 is added to each of them, then their ratio becomes 7:9.

After addition of 6 in the number the number becomes 5x + 6 and 7x + 6. The ratio between the numbers

(5x + 6) / (7x + 6) = 7/ 9

Cross multiplication

7 (7x + 6) = 9 (5x + 6)

49x + 42 = 45x + 54

49x - 45x = 54 - 42

4x = 12

x = 3.

The rational is 3. Hence the numbers are

One number = 5x = 5 × 3 = 15

Other number = 7x = 7 × 3 = 21.

Thus, the two numbers are 15 and 21

Answer the two numbers are 15 and 21. Hope it will help you. If you like my answer then please mark it as Brainliest❤.