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3a-10=b and 3b-10=a
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19 Feb 2024, 02:57
19 Feb 2024, 02:57
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Question Stats:
88% (00:49) correct
11% (01:48) wrong based on 9 sessions
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\(3a-10=b\) and \(3b-10=a\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
a |
b |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Re: 3a-10=b and 3b-10=a
[#permalink]
19 Feb 2024, 14:21
19 Feb 2024, 14:21
1
Substitute \(a = 3b-10\) into \(3a−10=b\) to find b.
\(3(3b-10) -10 = b\)
\(9b - 30 -10 = b\)
\(8b = 40\)
\(b = 5\)
Plug in b = 5 back into \(3a-10=b\) to find a.
\(3a - 10 = 5\)
\(a = 5\)
Since a = b, the two quantities are equal.
\(3(3b-10) -10 = b\)
\(9b - 30 -10 = b\)
\(8b = 40\)
\(b = 5\)
Plug in b = 5 back into \(3a-10=b\) to find a.
\(3a - 10 = 5\)
\(a = 5\)
Since a = b, the two quantities are equal.
gmatclubot
Re: 3a-10=b and 3b-10=a [#permalink]
19 Feb 2024, 14:21
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