Question

The ratio of two numbers is 9:5.If 9 is added to the greatest number and 5 is subtracted from the smaller number, the greater number becomes thrice the smaller number. Find the numbers with steps​

Answer 1

Answer:

18 and 10

Step-by-step explanation:

let the no. be x and y

a/q , x/y = 9/5

so x=9y/5. .......1

and given that x+9/y-5=3

= x+9=3y-15

= 9y/5+9=3y-15. ......from1

= 9y+45=27y-135

= 45+135=27y-9y

= 180=18y

so., y=10

and x=9y/5

= x=9*10/5=18

hence the nos. are 18 and 10