The sum of two numbers is 153. if four times the smaller number is subtracted from the larger number, the result is 18. find the two numbers.

X = larger number and y = smaller number

x + y = 153 ... x = 153 - y

x - 4y = 18

153 - y - 4y = 18

153 - 5y = 18

-5y = 18 - 153

-5y = - 135

y = - 135/-5

y = 27 < = = = smaller number

x - 4y = 18

x - 4 (27) = 18

x - 108 = 18

x = 18 + 108

x = 126 < = = larger number