The sum of two numbers is 92.5. The second number is 14 less than 5 times the first number. What are the two numbers?

17.75 and 74.75

Step-by-step explanation:

Let the two numbers be represented as variables.

x = first number

y = second number

x + y = 92.5

y = 5x - 14

Solve by substitution

x + (5x - 14) = 92.5

6x - 14 = 92.5

6x = 92.5 + 14

6x = 106.5

x = 106.5/6

x = 17.75

y = 92.5 - x = 92.5 - 17.75 = 74.75