Answer: 19 and 31
Step-by-step explanation: Make the first number x, the second number y.
The sum of x and y is 50: x+y=50
x is 43 less than 2y: x=2y-43
replace x in equation x+y=50 with x=2y-43: 2y-43+y=50
combine like terms: 3y-43=50
add 43 to both sides: 3y=93
divide both sides by 3: y=31
replace y in equation x+y=50 with y=31: x+31=50
subtract 43 31 from both sides: x=19
the solution to the question is the first number is 19, the second number is 31