Question

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?

A. x + y = 44 and y = x + 2
B.x + y = 44 and y = 2x
C.x + y = 44 and x = y + 2

Answer 1

x + y = 44 and y = x + 2 represents the word problem

hope I helped

Answer 2

A because y is larger than x by 2.

x + y = 44
y = x + 2

Substitute eqn 2 into eqn 1
x + x + 2 = 44
2x = 42
x = 21

Thus, the smaller number is 21.