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If a + 2b = 6 and ab = 4 what is 2/a + 1/b?

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If a + 2b = 6 and ab = 4 what is 2/a + 1/b? [#permalink]

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New post 31 Oct 2017, 10:15
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

98% (01:19) correct 2% (00:00) wrong based on 47 sessions

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Re: If a + 2b = 6 and ab = 4 what is 2/a + 1/b? [#permalink]

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New post 31 Oct 2017, 11:10
Bunuel wrote:
If a + 2b = 6 and ab = 4 what is 2/a + 1/b?

(A) 1/2
(B) 1
(C) 3/2
(D) 2
(E) 5/2


2/a + 1/b = (2b + a) /ab
6/4 = 3/2

IMO C
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Re: If a + 2b = 6 and ab = 4 what is 2/a + 1/b? [#permalink]

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New post 31 Oct 2017, 11:36
Looking at the second part only, ab=4
means 2x2 is 4

So now we now that a is 2 and b is 2 we can solve it

2/a + 1/b

=2/2 + 1/2

= 1 + 0.5 = 1.5
Which means 3/2
Or
Same denominator, just add the nominator = 3/2

So the answer is (C) 3/2



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Re: If a + 2b = 6 and ab = 4 what is 2/a + 1/b? [#permalink]

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New post 31 Oct 2017, 16:59
Bunuel wrote:
If a + 2b = 6 and ab = 4 what is 2/a + 1/b?

(A) 1/2
(B) 1
(C) 3/2
(D) 2
(E) 5/2


First recognize that if you are provided with equations and seemingly specific values to seek, that there is probably a shortcut to the manipulation. In this case add the fractions (2/a + 1/b) to find that the fractions can be combined as (2b + a) / ab. Now simply insert the given values of 6 and 4 to find that 6/4 = 3/2 or answer choice C.
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Re: If a + 2b = 6 and ab = 4 what is 2/a + 1/b? [#permalink]

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New post 31 Oct 2017, 17:51
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no need to find the value of a & b
just see to find the value of 2/a +1/b = (2b+a)/ab, we require value of 2b+a and ab which i given
hence answer is 6/4 =3/2.

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Re: If a + 2b = 6 and ab = 4 what is 2/a + 1/b? [#permalink]

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New post 31 Oct 2017, 19:12
\(\frac{2}{a}\)+\(\frac{1}{b}\)=\(\frac{(2b+a)}{ab}\)= \(\frac{6}{4}\)= \(\frac{3}{2}\)

Answer: C.
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Re: If a + 2b = 6 and ab = 4 what is 2/a + 1/b?   [#permalink] 31 Oct 2017, 19:12
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