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# If a#b = 1/(2a-3b) and a@b = 3a – 2b, what is the value of 1@2 - 3#4 ?

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If a#b = 1/(2a-3b) and a@b = 3a – 2b, what is the value of 1@2 - 3#4 ?  [#permalink]

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30 Jul 2018, 00:37
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Difficulty:

35% (medium)

Question Stats:

71% (00:52) correct 29% (01:19) wrong based on 14 sessions

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If $$a#b = \frac{1}{2a-3b}$$ and $$a@b = 3a – 2b$$, what is the value of $$1@2 - 3#4$$?

(A) $$\frac{-7}{6}$$

(B) –1

(C) $$\frac{-5}{6}$$

(D) $$\frac{2}{3}$$

(E) $$\frac{7}{6}$$

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If a#b = 1/(2a-3b) and a@b = 3a – 2b, what is the value of 1@2 - 3#4 ?  [#permalink]

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30 Jul 2018, 01:40
a#b = $$\frac{1}{2a-3b}$$

3#4 = $$\frac{1}{2(3)-3(4)}$$ = $$\frac{1}{6-12}$$ = $$\frac{-1}{6}$$

$$a@b = 3a-2b$$

$$1@2 = 3(1)-2(2) = 3-4 = -1$$

1@2-3#4 = $$-1 - (\frac{-1}{6})$$ = $$-1 + \frac{1}{6}$$ = $$\frac{-5}{6}$$

Hence option C
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If a#b = 1/(2a-3b) and a@b = 3a – 2b, what is the value of 1@2 - 3#4 ? &nbs [#permalink] 30 Jul 2018, 01:40
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