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E
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Difficulty:
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78% (02:49) correct
22%
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Team A has scored x points and team B has now scored y points, where x and y are positive integers. If each of these teams scores an additional z points, where z is a positive integer, then team A will have scored 4 times the number of points that team B has scored. If each of these teams scores an additional 2z points, then team A will have scored 3 times the number of points that team B has scored. Which of the following is equal to x − y ?
A. 5z/2
B. 3z
C. 4z
D. 17z/3
E. 6z
A. 5z/2
B. 3z
C. 4z
D. 17z/3
E. 6z
Hello,
As per first sentence when z points are added to each Team then Team A will be 4 times team B
X+z=4(y+z)
Second sentence say's that when 2z point is added to each team then team A will be 3 times Team B
x+2z=3(y+2z)
when we solve equation
we get y=z
when we substitute in any equation we get X =7z
Hence X-Y =6Z
correct option is choice E
As per first sentence when z points are added to each Team then Team A will be 4 times team B
X+z=4(y+z)
Second sentence say's that when 2z point is added to each team then team A will be 3 times Team B
x+2z=3(y+2z)
when we solve equation
we get y=z
when we substitute in any equation we get X =7z
Hence X-Y =6Z
correct option is choice E
03 Dec 2024, 08:21
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A will have scored 4 times the number of points that team B has scored.
According to me , these would be the equations:
X+z=4(y)
x+2z=3(y)
Which results in 4z
According to me , these would be the equations:
X+z=4(y)
x+2z=3(y)
Which results in 4z
ravi1522
