the sum of two numbers is 74. if four times the smaller number is subtracted from the larger number the result is 14

12, 62

Step-by-step explanation:

Let the two numbers be x and y where x > y.

According to the given conditions:

x + y = 74

x = 74 - y (1)

and

x - 4y = 14(2)

From equations (1) & (2)

74- y - 4y = 14

74 - 5y = 14

74 - 14 = 5y

60 = 5y

y = 60/5

y = 12

x = 74 - y

x = 74 - 12

x = 62

Thus, the two numbers are 12 and 62.

60

step-by-step explanation: