SOLUTION: Select the set of equations that represents the following situation: The sum of two numbers is 73, and their difference is thirty-two less than the smaller number. What are the two

Question 449101: Select the set of equations that represents the following situation: The sum of two numbers is 73, and their difference is thirty-two less than the smaller number. What are the two numbers?
Will you help me in laymen terms how to select the correct answer
x+y=73; y-x=x-32
2y=73; 73=y-32
x+y=73; x-y=32-x
2x=73; 73=x+12
Thank you for your assistance
Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 73
x+y=73;
and their difference (y-x) is thirty-two less (-32) than the smaller number (x)
y-x=x-32 which could be y=2x-32
if the first really is y-x=x-32 it is correct.
It also could be x-y = y-32 which could be x=2y-32
so it is the first choice
y-x=x-32 and x-y=32-x are equivalent
multiply by -1
-1*(y-x)=x-y
-1*(x-32)=32-x
so the first and the third should be accepted as correct.
however the first is in the wording of the problem.

RELATED QUESTIONS
elect the set of equations that represents the following situation: The sum of two... (answered by mananth)

Select the set of equations that represents the following situation: The sum of two... (answered by stanbon,MathLover1)

Select the set of equations that represents the following situation: The sum of two... (answered by mananth)

Select the set of equations that represents the following situation: The sum of two... (answered by user_dude2008)

Select the set of equations that represents the following situation: The sum of two... (answered by sudhanshu_kmr)

Select the set of equations that represents the following situation: the sum of two... (answered by mananth)

6. Select the set of equations that represents the following situation: The sum of two... (answered by deborabr)

COULD SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Select the set of equations that... (answered by scott8148)

The sum of two numbers is 82. Their difference is 24. Write a system of equations that... (answered by 303795,checkley71)