Question

Two no.'s are in the ratio 5:8. If each is increased by 5 , the ratio of new numbers become 2:3. Find the original numbers.​

Answer 1

Answer:

Step-by-step explanation:

The numbers are in the ratio 2:3.

Let the common ratio be x.

Therefore the numbers are 2x and 3x

If 5 is added to both the numbers the

ratio become 5:7.

Therefore, (2x + 5):(3x + 5)= 5:7

Therefore, 14x + 35 = 15x + 25

Therefore, x = 10

Thus, the numbers are 2x = 2 x 10 = 20

and 3x = 3 x 10 = 30.

Answer 2

Step-by-step explanation:

let the numbers be 5x and 8x

after adding 5 the numbers become 2y and 3y

so

$5x + 5 = 2y \\ 8x + 5 = 3y$

$15x + 15 = 6y \\ 16x + 10 = 6y$

on subtraction

5=x

and y=15