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# If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?

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If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?  [#permalink]

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01 Aug 2016, 05:57
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72% (00:56) correct 28% (01:34) wrong based on 172 sessions

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If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?

A. 64/81
B. 8/9
C. 1
D. 9/8
E. 81/64

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Posts: 3031
Re: If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?  [#permalink]

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01 Aug 2016, 06:34
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Bunuel wrote:
If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?

A. 64/81
B. 8/9
C. 1
D. 9/8
E. 81/64

A nice fast approach is the first find a pair of numbers that satisfy the given equation: 8a = 9b
Here's one pair: a = 9 and b = 8

What is the ratio of a/9 to b/8?
In other words, what is the value of (a/9)/(b/8)?
Plug in values to get: (a/9)/(b/8) = (9/9)/(8/8)
= 1/1
= 1

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Re: If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?  [#permalink]

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01 Aug 2016, 07:18
1
Bunuel wrote:
If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?

A. 64/81
B. 8/9
C. 1
D. 9/8
E. 81/64

8a = 9b then a = 9b / 8.

Need to find the ratio..a/9 to b/8 => 8a/9b..

Sub a value in 8a/9b => 8 * 9b / 8 * 9b = 1.

OA please..will correct if I missed anything..
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Joined: 05 Mar 2015
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If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?  [#permalink]

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01 Aug 2016, 07:46
Bunuel wrote:
If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?

A. 64/81
B. 8/9
C. 1
D. 9/8
E. 81/64

if ab ≠0
then a and b has two integer sets of pair
if a=9 then b=8
and if a=-9 then b=-8
also in fraction if a=1/8 then b=1/9
any of the pair we check the ratio 8a/9b=1
Ans C
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Re: If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?  [#permalink]

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05 Oct 2017, 10:19
Bunuel wrote:
If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?

A. 64/81
B. 8/9
C. 1
D. 9/8
E. 81/64

We are given that 8a = 9b. If we divide both sides by 72, we have:

8a/72 = 9b/72

a/9 = b/8

Since a/9 = b/8, the ratio between the two quantities is 1/1 = 1.

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Re: If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?  [#permalink]

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06 Oct 2017, 23:21
Bunuel wrote:
If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8?

A. 64/81
B. 8/9
C. 1
D. 9/8
E. 81/64

Since 8a=9b

Now if you divide both sides by 8 and 9, we get

a/9=b/8

Hence the ratio of a/9 and b/8 will be equal to 1.

Ans C.
Re: If 8a = 9b and ab ≠0, what is the ratio of a/9 to b/8? &nbs [#permalink] 06 Oct 2017, 23:21
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