Question

The ratio of two numbers is 9:5. if 9 is added to the greater number and 5 is subtracted from the smaller number, the greater number becomes thrice the smaller one. Find the numbers

Answer 1

Answer:

let the two numbers be 9x and 5x

9+ 9x = 3 ( 5x - 5)

9 + 9x = 15x - 15

9x - 15x = -15 - 9

- 6x = -24

x = 4

Greater number =9x = 9× 4 = 36

Smaller number = 5x = 5×4 = 20

Answer 2

Answer:

greater number = 36

smaller number = 20

Step-by-step explanation:

let us suppose greater number is = 9x

smaller number is = 5x

according to the question,

9x + 9 = 3 ( 5x - 5 )

9x + 9 = 15x - 15

15x - 9x = 15 + 9

6x = 24

x = 4

then, greater number = 9×4

= 36

smaller number = 5×4

= 20