Question

Two number are in ratio 5:7. When 3 is added to each ,number, the new ratio becomes 3:4 . Find the number.

Answer 1

Answer:

The numbers are 15 and 21

Step-by-step explanation:

two numbers be 5x and 7x

5x+3/7x+3 = 3/4

20x+12 = 21x+9

x = 3

Answer 2

Answer:

let x and y be the two given numbers

x:y = 5:7

7x-5y=0_(i)

by condition

x+3 / y+3 = 3/4

4(x+3)=3(y+3)

4x+12=3y+9

4x-3y+3=0

4x-3y= -3_(ii)

by solving (i) and (ii)

we get

x=3/2

y=3