Question

6. Two numbers are such that the ratio between them is 3:5. If each is increased by 5, the
ratio between the new numbers so formed is 2:3. Find the original numbers.​

Answer 1

Answer:

15,25

Step-by-step explanation:

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

solving x= 5

numbers are 15,25

Answer 2

let 2 numbers be 'x' and 'y'

given x/y=3/5

x=(3y/5)------------------(1)

if each number is increased by 5..

(x+5)/(y+5)=(2/3)

3x+15=2y+10

3x-2y=-5---------------(2)

put eq(1) in (2)

3(3y/5)-2y=-5

9y-10y=-25

-y=-25

hence y=25..from eq(1),

x=3y/5

=(3×25)/5

=3×5

=15

hence x=15,y=25