Question 625283
Let
x be the larger and y be the smaller number


The difference between two numbers is 9
x-y=9
x=9+y...........(1)
Six times the larger number is 15 times the smaller number
6x=15y..........(2)
Substitute the value of x from (1) to (2)
6(9+y)=15y..........(2)
54+6y=15y
6y-15y=-54
-9y=-54
Divide by -9 both sides of the above equation
-9y/-9=-54/-9
y=6
Put the value of y in (1)
x=9+y
x=9+6
x=15

Numbers are 15 and 6