One number is 4 less than eleven times another. The sun of the two numbers is 92. Find the numbers

84 and 8

Step-by-step explanation:

the first number will be x and the second number y.

x = 11y - 4

x + y = 92

replace x in the second equation with 11y - 4:

11y - 4 + y = 92

add 4 to each side: 11y + y = 96

simplify: 12y = 96

divide each side by 12: y = 8

now replace y in the second equation with 8:

x + 8 = 92

subtract 8 from each side: x = 84