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

Equation 1y - x = 15

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

Equation 25x = 9 - 2y

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