Question

if ratio of two numbers is 9:5 and the difference between them is 500 find the 2 numbers​

Answer 1

Step-by-step explanation:

if we consider 2 numbers as x & y

x/y = 9/5

by applying law of proportion Componendo Dividendo

( x+ y) / ( x - y) = ( 9 + 5) / ( 9- 5)

=> the ratio of the sum & difference = 14/ 4 = 7/2 or 7:2

Answer 2

Answer:

let the two numbers be x and y

9/5=x/y

5x=9y

x=9y/5

substituting value of x

x-y=500

9y/5-y=500

9y-5y/5=500

4y=2500

y=625

again,

x=9×625/5

x=1125