The sum of two numbers is 44, and the larger number is 2 more than the smaller number. What is the smaller number? If x = the smaller number and y = the larger number, then which of the following systems of equations represents the word problem?

Question

anonymous · Answer

The sum of two numbers is 44, 
x = the smaller number and y = the larger number
so
X+Y=44


x = the smaller number and y = the larger number
larger number is 2 more than the smaller number
so
Y-X=2

The set of equations is:
X+Y=44
Y-X=2

After calculations: X=21, Y=23