Question 1151574
<font color=black size=3>
x = smaller number
y = larger number


x = y-22 since "The smaller number is 22 less than the larger number"


x+y = 50 because it says "The sum of two numbers is 50"


x+y = 50
y-22+y = 50 ... replace x with y-22
2y-22 = 50
2y-22+22 = 50+22 ... add 22 to both sides
2y = 72
2y/2 = 72/2 ... divide both sides by 2
y = 36


x = y-22
x = 36-22 ... plug in y = 36
x = 14


The two numbers are 14 and 36.
</font>