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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: 60727
If x and y are positive integers, does x/y = 7/9?  [#permalink]

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25 Nov 2019, 02:51
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Difficulty:

75% (hard)

Question Stats:

29% (01:46) correct 71% (02:10) wrong based on 36 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: 8327
Re: If x and y are positive integers, does x/y = 7/9?  [#permalink]

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25 Nov 2019, 06:21
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, 06:21
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