The difference of two numbers is 15.five times the smaller is the same as 9 less than twice the larger.find the numbers

small number = -3

large number = 12

Step-by-step explanation:

Suppose two numbers are x and y

smaller number = x

larger number = y

Given that,

The difference of two numbers is 15

Five times the smaller is the same as 9 less than twice the larger.

Solve them

-x = 15 - y

x = y -15

put value of x in equation 2

5(y - 15) = 9 - 2y

-75 + 5y = 9 - 2y

-75 - 9 = -2y - 5y

-84 =  -7y

y = 84/7

y = 12

x = 12 - 15

x = -3