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# If x and y are positive integers, does x/y = 7/9?

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Math Expert
Joined: 02 Sep 2009
Posts: 61510
If x and y are positive integers, does x/y = 7/9?  [#permalink]

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25 Nov 2019, 01:51
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Difficulty:

85% (hard)

Question Stats:

26% (01:46) correct 74% (02:04) wrong based on 40 sessions

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If x and y are positive integers, does $$\frac{x}{y} = \frac{7}{9}$$?

(1) $$x = 103$$

(2) $$\frac{11}{13} < \frac{x}{y} < \frac{8}{9}$$

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Math Expert
Joined: 02 Aug 2009
Posts: 8257
Re: If x and y are positive integers, does x/y = 7/9?  [#permalink]

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25 Nov 2019, 05:21
If x and y are positive integers, does $$\frac{x}{y} = \frac{7}{9}$$?

(1) $$x = 103$$
Now $$\frac{x}{y} = \frac{7}{9}$$ means x HAS to be a multiple of 7, but 103 is NOT a multiple of 7, hence answer is NO
Suff

(2) $$\frac{11}{13} < \frac{x}{y} < \frac{8}{9}$$...
Now $$\frac{7}{9}<\frac{11}{13} < \frac{x}{y} < \frac{8}{9}$$...
sufficient

D
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Re: If x and y are positive integers, does x/y = 7/9?   [#permalink] 25 Nov 2019, 05:21
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