Question

The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the numbers.

​

Answer 1

Explanation:

"The difference of two numbers is 15."

x-y = 15

x>y

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

5y = 2x-9

y = x-15

substitution

5(x-15) = 2x-9

5x-75 = 2x-9

3x = 66

x = 22

y = x-15 = 7