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The OA is E. But I honestly didn't understand your extremes. Sure, I know what you did, but I can't see how those 2 can qualify as extremes. The answers could be negative too, but certainly not those 2 numbers since the statements have mentioned less than these 2 numbers. Just because those extreme numbers can equal to more than 1 doesn't mean that the smaller fractions would do the same. After all, those extreme numbers that you have chosen aren't suppose to be part of the calculations. maybe i've lost your track here, but can you please explain? thanks

Test it out using this same denominator. Remember that X must be LESS than 64/72 and Y must be LESS than 9/72. Using 72 as a denominator these are the largest fractions we can use unless we expand out from integers (and get into 63.99/72 sort of thing)

Now many people might stop here and say that C is sufficient. Let's use a larger denominator so we can do more precise tuning and see what happens.

X <

and

Y <

These fractions are the same as the one above, we just multiplied the top and bottom by 10. Now let's take the largest fractions we can get and add them together like we did above:

As you can see, this fraction is larger than 1. Making both statements together insufficient.

The OA is E. But I honestly didn't understand your extremes. Sure, I know what you did, but I can't see how those 2 can qualify as extremes. The answers could be negative too, but certainly not those 2 numbers since the statements have mentioned less than these 2 numbers. Just because those extreme numbers can equal to more than 1 doesn't mean that the smaller fractions would do the same. After all, those extreme numbers that you have chosen aren't suppose to be part of the calculations. maybe i've lost your track here, but can you please explain? thanks

ok since 1) says x<8/9 lets assume \(x=\frac{799}{900}\)(since its less than \(\frac{800}{900}\))

and lets assume that \(y=\frac{99}{800}\)

add these two together we get a number slightly more than 1. Try it

The OA is E. But I honestly didn't understand your extremes. Sure, I know what you did, but I can't see how those 2 can qualify as extremes. The answers could be negative too, but certainly not those 2 numbers since the statements have mentioned less than these 2 numbers. Just because those extreme numbers can equal to more than 1 doesn't mean that the smaller fractions would do the same. After all, those extreme numbers that you have chosen aren't suppose to be part of the calculations. maybe i've lost your track here, but can you please explain? thanks

Re: Is x+y less than 1? (1) x is less than 8/9 (2) y is less [#permalink]

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22 Oct 2016, 16:53

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