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x + y = 7 x^2 + y^2 = 25
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05 Apr 2019, 05:04
05 Apr 2019, 05:04
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\(x + y = 7\)
\(x^2 + y^2 = 25\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
\(x^2 + y^2 = 25\)
Quantity A |
Quantity B |
\(x + y^2\) |
\(3+4^2\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: x + y = 7 x^2 + y^2 = 25
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05 Apr 2019, 06:32
05 Apr 2019, 06:32
1
Carcass wrote:
\(x + y = 7\)
\(x^2 + y^2 = 25\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
\(x^2 + y^2 = 25\)
Quantity A |
Quantity B |
\(x + y^2\) |
\(3+4^2\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
GIVEN:
x + y = 7
x² + y² = 25
You may recognize that one possible solution to BOTH equations is x = 3 and y = 4
So, we get:
QUANTITY A: x + y² = 3 + 4²
QUANTITY B: 3 + 4²
In this case, the quantities are equal
Another possible solution is x = 4 and y = 3
So, we get:
QUANTITY A: x + y² = 4 + 3² = 4 + 9 = 13
QUANTITY B: 3 + 4² = 3 + 16 = 19
In this case, Quantity B is greater
Answer: D
Cheers,
Brent
gmatclubot
Re: x + y = 7 x^2 + y^2 = 25 [#permalink]
05 Apr 2019, 06:32
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