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Studentka2010 [4]
3 years ago
5

The sum of twice a number and a larger number is 145. The difference between the numbers is 55. Let x represent the smaller numb

er and y represent the larger number. Which equations represent the situation? Check all that apply.
A. x-y=55
B. 2(x+y)=145
C. 2x+y=145
D. y-x=55
E. y=x+55
Mathematics
2 answers:
mote1985 [20]3 years ago
7 0
C, D, and E all represent parts of the situation.  

A does not, because x is actually 55 smaller than y, which is why both D and E work.  

B does not because it's doubling the sum of x = y, but the description says to double x and then add y (which is why C works).
frutty [35]3 years ago
6 0
X and y are the numbers
y>x

sum (addition) of twice a number (2x) and larger number (y) is (=) 145
2x+y=145

difference between them is 55 (y is bigger so it would be x is subtracted from y)
y-x=55

so the equations are

2x+y=145 and
y-x=55

we could add x to both sides in the 2nd equation to obtain
y=x+55, but that doesn't really represent that the difference is 55, though they are the same euation

so I would say C and D only
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